The University of Western Australia

Thesis
1. (1972) Monomorphisms and epimorphisms in classes of groups and Lie algebras, MSc thesis, University of Queensland, supervised by Sheila Macdonald, (now Williams).
2. (1972) Transitive permutation groups of prime degree, MSc thesis, University of Oxford, supervised by Peter M. Neumann.
3. (1973) Finite permutation groups, DPhil thesis, University of Oxford, supervised by Peter M. Neumann.
4. (1988) Finite permutation groups and algebraic graph theory, D.Sc. thesis, University of Western Australia
Books
1. Algebraic structures and their applications, Lecture notes in Pure and Applied Mathematics, Vol 74, Marcel Dekker, 1982, (joint editor with P. Schultz, and R. P. Sullivan).
2. The maximal factorizations of the finite simple groups and their automorphism groups, (with M.W. Liebeck and J. Saxl) Memoirs Amer. Math. Soc. 86, (1990), No. 432. ISSN 006509266.
3. Low rank representations and graphs for sporadic groups, (with L. H. Soicher), Australian Math. Soc. Lecture Series, Vol. 8, Cambridge University Press (1997). ISBN 0 521 56737 8 paperback. (Reviewed in Bull. London Math. Soc. 30, 1998, by Robert T. Curtis.)
4. A generating function approach to the enumeration of matrices in classical groups over finite fields, (with Jason Fulman and Peter M. Neumann), Memoirs, Amer. Math. Soc. 176 (2005), No. 830. ISSN 0065-9266.
Research papers
1970
1. Note on a functional equation, Aeq. Math. 4, 353-357.
1973
2. Sylow subgroups of transitive permutation groups, Math. Zeit. 134, 179-180.
1974
3. On the Sylow subgroups of a doubly transitive permutation group, Math. Zeit. 137, 155-171.
1975
4. Sylow subgroups of finite permutation groups, Proc. second international conference on the theory of groups, Canberra, 1973, Ed. M.F.Newman, Lecture Notes in Mathematics 372, Springer, Berlin, Heidelberg, New York, 578-579.
5. On the Sylow subgroups of a doubly transitive permutation group, II, Math. Zeit. 143, 131-143.
6. On the Sylow subgroups of a doubly transitive permutation group, III, Bull. Austral. Math. Soc. 13, 211-240.
7. Primitive permutation groups containing a p-element of small degree, p a prime, J. Algebra 34, 540-546.
1976
8. Primitive permutation groups containing a p-element of small degree, p a prime, II, J. Algebra 40, 278-293.
9. Note on primitive permutation groups of prime power degree, J. London Math. Soc. (2) 13, 191-192.
10. On the fixed points of Sylow subgroups of transitive permutation groups (with Marcel Herzog), J. Austral. Math. Soc. 21, 428-437.
11. Minimal degree of primitive permutation groups (with Marcel Herzog), in Combinatorial Mathematics IV, Adelaide 1975, Ed. L.R.A.Casse and W.D.Wallis, Lecture Notes in Mathematics 560, Springer, Berlin, Heidelberg, New York, 116-122.
12. Doubly transitive permutation groups involving the one- dimensional projective special linear group, Bull. Austral. Math. Soc. 14, 349-358.
13. On the order of linear groups of fixed finite exponent (with Marcel Herzog), J. Algebra 43, 216-220.
1977
14. Sylow subgroups of transitive permutation groups, II, J. Austral. Math. Soc. 23, 329-332.
15. Doubly transitive permutation groups which are not doubly primitive , J. Algebra 44, 389-395.
16. Doubly transitive permutation groups in which the one-point stabilizer is triply transitive on a set of blocks, J. Algebra 47, 433-440.
17. On partially transitive projective planes of certain Hughes' types (with A. Rahilly), in Group Theory, Canberra 1975, Ed. A. Dold and B. Eckmann, Lecture Notes in Mathematics 573, Springer, Berlin, Heidelberg, New York, 85-111.
18. On character values in finite groups (with Marcel Herzog), Bull. Austral. Math. Soc. 17, 451-461.
1978
19. On the fixed points of Sylow subgroups of transitive permutation groups, corrigendum (with Marcel Herzog), J. Austral. Math. Soc. (A) 26, 383-384.
20. Doubly transitive automorphism groups of block designs, J. Combinatorial Theory (A) 25, 258-266.
21. On doubly transitive permutation groups, Bull. Austral. Math. Soc.18, 465-473.
22. On the normal structure of a one-point stabilizer in a doubly transitive permutation group (with M.D.Atkinson), J. Austral. Math. Soc. (A)25, 145-166.
23. Direct factors of Sylow groups (with Marcel Herzog), Comm. in Algebra6 (13), 1375-1382.
24. On primitive permutation groups with a doubly transitive suborbit, J. London Math. Soc. (2) 17, 67-73.
25. Elements of prime order in primitive permutation groups, in Seminar on permutation groups and related topics, Ed. T. Tsuzuku, Kyoto University, 143-150.
26. Doubly transitive but not doubly primitive permutation groups, in Seminar on permutation groups and related topics, Ed. T. Tsuzuku, Kyoto University, 151-153.
1979
27. On characters in the principal 2-block, II (with Marcel Herzog), J. Austral. Math. Soc. (A) 28, 100-106.
28. On elements of prime order in primitive permutation groups, J. Algebra60, 126-157.
29. On fixed points in paired suborbits (with Jan Saxl), Arch. der Math.33, 325.
1980
30. On the orders of primitive permutation groups (with Jan Saxl), Bull. London Math. Soc. 12, 303-307.
31. Symmetric graphs and a characterisation of the Odd graphs, in Combinatorial Mathematics VII, Ed. R. W. Robinson, G.W. Southern, and W.D.Wallis, Lecture Notes in Mathematics 829, Springer, Berlin, Heidelberg, New York, 211-219.
32. Note on primitive permutation groups and a diophantine equation (with J.D.Henstridge), Discrete Math. 31, 181-183.
1981
33. Primitive permutation groups and a characterisation of the Odd graphs, J. Combinatorial Theory (B) 31, 117-142.
34. Designs from finite groups (with Anne Penfold Street), Congressus Numerantium31, 165-185.
1982
35. Graphs and permutation groups with projective subconstituents (with P.J. Cameron), J. London Math. Soc. (2) 25, 62-74.
36. Graphs and their automorphism groups, in Algebraic Structures and their Applications, Ed. P.Schultz, C.E.Praeger, R.P.Sullivan, Lecture notes in pure and applied math. 74, Marcel Dekker, New York, 21-32.
37. When are symmetric graphs characterized by their local properties? in Combinatorics IX, Lecture Notes in Mathematics 952, Springer, Berlin, Heidelberg, New York, 123-141.
1983
38. Some remarks on the permanents of circulant (0,1) matrices (with P.Eades and J.R.Seberry), Utilitas 23, 145-159.
39. Generalized wreath products of permutation groups (with R.A.Bailey, C.A.Rowley, and T.P.Speed), Proc. London Math. Soc. (3) 47, 69-82.
40. On 2-arc transitive graphs of girth 4 (with P.J.Cameron), J. Combinatorial Theory (B) 35, 1-11.
41. On the Sims' conjecture and distance transitive graphs (with P.J. Cameron, G.M. Seitz, and J. Saxl),Bull. Lond. Math. Soc. 15, 499-506.
42. On the automorphisms of rooted trees with height distributions (with P.Schultz), in Combinatorial Mathematics X, Lecture Notes in Mathematics 1036, 319-334.
43. Twills with bounded float length (with J.A.Hoskins and A.P.Street),Bull. Austral. Math. Soc. 28, 255-282.
44. Balanced twills with bounded float length, (with J.A.Hoskins and A.P.Street), Congressus Numerantium 40, 77-89.
45. Finite simple groups and finite primitive permutation groups,Bull. Austral. Math. Soc. 28, 355-366.
46. Characterization of some sparse binary sequential arrays, (with A.P.Street), Aequationes Math. 26, 54-58.
1984
47. On transitive permutation groups with a subgroup satisfying a certain conjugacy condition, J. Austral. Math. Soc. (A) 36, 69-86.
48. Symmetric graphs and the classification of the finite simple groups, in Groups Korea 1983, Lecture Notes in Mathematics 1098, Springer, Berlin, Heidelberg, New York, 99-110.
1985
49. Fixed-point-free permutations in transitive permutation groups of prime-power order, (with P.J. Cameron, L.G. Kovacs, and M.F. Newman), Quarterly J. Math. Oxford(2) 36, 273-278.
50. Imprimitive symmetric graphs, Ars Combinatoria 19-A, 149-163.
51. Enumeration of rooted trees with a height distribution, (with P. Schultz and N.C.Wormald), Ars Combinatoria 19-A, 191-204.
52. A note on generalized wreath product groups, (with C.A.Rowley and T.P.Speed), J. Austral. Math. Soc.(A) 39, 415-420.
1986
53. Distance transitive graphs of valency six, (with A. Gardiner), Ars Combinatoria21-A, 195-210.
1987
54. Sequential binary arrays and circulant matrices, (with C.K.Nilrat), J. Austral. Math. Soc.(A) 42, 330-348.
55. Distance transitive graphs and finite simple groups, (with J.Saxl and K.Yokoyama), Proc. London Math. Soc.(3) 55, 1-21.
56. Distance transitive graphs of valency five, (with A.Gardiner), Proc. Edinburgh Math. Soc. 30, 73-82.
57. Distance transitive graphs with symmetric or alternating automorphism group (with M. W. Liebeck and J. Saxl), Bull. Austral. Math. Soc. 35, 1-26.
58. On automorphism groups of imprimitive symmetric graphs, Ars Combinatoria23A, 228-247.
59. A classification of the maximal subgroups of the finite alternating and symmetric groups, (with M.W.Liebeck and J.Saxl), J. Algebra 111, 365-383.
60. Optimal worst case trees, (with E.A. Bender and N. C. Wormald), Acta Informatica 24, 475-489.
61. On maximal subgroups and maximal factorizations of almost simple groups, (with M. W. Liebeck and J. Saxl), in Proceedings of the Arcata Conference on Representation Theory, Arcata, 1986, Proc. Symp. Pure Math. 47, 449-454.
1988
62. On the O'Nan Scott Theorem for primitive permutation groups (with M.W.Liebeck and J.Saxl), J. Austral. Math. Soc. (A) 44, 389-396.
63. On the 2-closures of primitive permutation groups, (with M.W.Liebeck and J. Saxl), J. London Math. Soc. 37, 241-252.
64. Primitive permutation groups with doubly transitive subconstituents, J. Austral. Math. Soc.(A). 45, 66-77.
65. Complete Latin squares: terraces for groups, (with C.K. Nilrat), Ars Combinatoria 25, 17-29.
66. Covering subgroups of groups and Kronecker classes of fields, J. Algebra118, 455-463..
67. On minimal faithful permutation representations of finite groups, (with D.Easdown),Bull. Austral. Math. Soc. 38 , 207-220.
68. Directed terraces for direct product groups, (with R.A.Bailey), Ars Combinatoria 25A, 73-76.
69. Inflations of graphs with large automorphism groups, Ars Combinatoria26A, 171-192.
1989
70. A characterization of a class of symmetric graphs of twice prime valency (with Ming-yao Xu), European J. Combinatorics 10, 91-102. (announcement in Advances in Math. 16 (1987), 222-223.)
71. On octic field extensions and a problem in group theory, in Group Theory, Proceedings of the 1987 Singapore Conference, Ed. by K.N.Cheng and Y.K.Leong, de Gruyter, Berlin, New York, 443-463.
72. Finite permutation groups with large abelian quotients, (with L.G.Kovacs), Pacific J. Math. 136, 283-292.
73. A note on group Latin squares, J. Combinatorial Math. and Combinatorial Computing 5, 41-42.
74. Inversive planes of odd order, (with P.H.Fisher, T.Penttila, and G.F.Royle), European J. Combinatorics 10, 331-336.
75. Highly arc transitive digraphs, European J. Combinatorics 10, 281-292.
76. Constructing the vertex transitive graphs of order 24, (with G.F.Royle), J. Symbolic Computation 8, 309-326.
1990
77. Block-transitive designs and maximal subgroups of finite symmetric groups, Australas. J. Combin. 1, 193-205.
78. The inclusion problem for finite primitive permutation groups, Proc. London Math. Soc.60, 68-88.
79. Subgroups of finite symmetric groups, Advances in Math., Beijing 19, 1-11.
80. Finite primitive permutation groups: a survey, in Groups - Canberra, Lecture Notes in Mathematics 1456, Springer-Verlag, Berlin, Heidelberg, New York, 63-84; translated into Chinese by K. P. Shum, and published by Academia Sinica, Beijing, China, pp 282-293.
81. Maximal subgroups of infinite symmetric groups, (with H. D. Macpherson), J. London Math. Soc. (2) 42, 85-92.
1991
82. On homomorphic images of edge-transitive directed graphs, Australas. J. Combin.3, 207-210.
83. Stabilizers of hyperovals in PG(2,32), (with C.M. O'Keefe and T. Penttila), in Advances in Finite Geometries and Designs, ed. J.W.P. Hirschfeld, D.R. Hughes and J.A. Thas, O.U.P., 337-351.
84. Kronecker classes of field extensions of small degree, J.Austral. Math. Soc(A) 50, 297-315.
85. On minimal symmetric automorphism groups of finite symmetric graphs, Australas. J. Combin.4, 237-252.
86. Balanced directed cycle designs based on groups, Discrete Math.92, 275-290.
87. On permutation groups with bounded movement, J. Algebra 144, 436-442.
88. Small squaring and cubing properties for finite groups, (with Ya. G. Berkovich and G.M. Freiman), Bull. Austral. Math. Soc.50, 297-315.
89. Computing with group homomorphisms, (with C. Leedham-Green and L. Soicher), J. Symbolic Computation 12, 527-532.
90. Groups and designs, Proc. Asian Mathematical Conference, 1990, ed. by Li Zhong, K.P. Shum, C.C.Yang and Yang Le, World Scientific, Singapore, 363-372.
1992
91. Closures of finite primitive permutation groups, (with J. Saxl), Bull. London Math. Soc. 24, 251-258.
92. Closures of finite permutation groups and relation algebras, in Groups, Combinatorics and Geometry, Eds. M. W. Liebeck and J. Saxl, London Math. Soc. Lecture Series 165, Cambridge University Press, Cambridge, pp 368-379.
93. The Loewy length of the Jacobson radical of a bounded endomorphism ring, (with P.Schultz), in Abelian Groups and Noncommutative Rings: a Collection of papers in memory of Robert B. Warfield Jr., Eds. L. Fuchs and K. R. Goodearl, J. T. Stafford and C. Vinsonhaler, Contemp. Math. 130, 349-360.
94. Concerning multiplier automorphisms of cyclic Steiner triple systems, (with C.J.Colbourne, E. Mendelsohn and V. D. Tonchev), Designs, Codes and Cryptography 2, 237-251.
95. The block-transitive, point-imprimitive 2-(729,8,1) designs, (with W. Nickel, A. Niemeyer, C. M. O'Keefe, and T. Penttila), Applicable Algebra in Eng., Comm. and Comp. 3, 47-61.
96. Partitioning into Steiner systems, (with P.J. Cameron), in Combinatorics '88: Proceedings of the International Conference on Incidence Geometries and Combinatorial Structures, (Eds. A. Barlotti, G. Lunardon, F. Mazzocca, N. Melone, D. Olanda, A. Pasini, G. Tallini), 1st Volume, Mediterranean Press, pp 61-71.
97. A recognition algorithm for special linear groups, (with P.M. Neumann), Proc. London Math. Soc.(3) 65, 555-603.
98. Relation algebras and finite permutation groups, (with M.W. Liebeck), J. London Math. Soc.(2) 45, 433-445.
99. Affine distance transitive groups with alternating or symmetric point stabilizer, (with M.W. Liebeck), European J. Combin. 13, 489-501.
1993
100. Block-transitive, point-imprimitive designs with ,(with C. M. O'Keefe and T. Penttila), Discrete Math. 115, 231-244.
101. Finite vertex transitive graphs and primitive permutation groups, in Coding Theory, Design Theory, Group Theory, (Proceedings of the Marshall Hall Conference) (Eds: D. Jungnickel and S. A. Vanstone), Wiley, New York, pp 51-65.
102. On a reduction theorem for finite, bipartite, 2-arc transitive graphs, Australas. J. Combin. 7, 21-36.
103. Line-transitive automorphism groups of linear spaces, (with A. Camina), Bull. London Math. Soc. 25, 309-315.
104. Symmetric graphs of order a product of two distinct primes, (with R.J. Wang and M.Y.Xu), J. Combin. Theory (B) 58, 299-318.
105. An O'Nan-Scott Theorem for finite quasiprimitive permutation groups, and an application to 2-arc transitive graphs, J. London Math. Soc.(2) 47, 227-239.
106. On finite affine 2-arc transitive graphs, (with A. A. Ivanov), European J. Combin. 14, 421-444.
107. Permutation group subdegrees and the common divisor graph, (with I.M.Isaacs), J. Algebra 159, 158-175.
108. Computation with matrix groups over finite fields, in Groups and Computation (Ed. by L. Finkelstein and W. M. Kantor) DIMACS Series in Discrete Math. and Theoretical Computer Science 11, 189-195.
109. Block-transitive t-designs, I: point-imprimitive designs, (with P. J. Cameron), Discrete Math. 118, 33-43.
110. Half-regular symmetric designs, (with A. Rahilly, D. Bryant and A. P. Street), Australas. J. Combin.8, 1-26.
111. Vertex primitive graphs of order a product of two distinct primes, (with M.Y.Xu), J. Combinatorial Theory (B) 59, 245-266.
112. Block-transitive t-designs, II: large t, (with P.J. Cameron), in Finite Geometry and Combinatorics edited by F. De Clerk et al, London Math. Soc. Lecture Note Series 191, Cambridge University Press, Cambridge, 1993, pp. 103-119.
113. Infinite highly arc transitive digraphs and universal covering digraphs, (with P.J. Cameron and N.C. Wormald), Combinatorica 13, 377-396.
1994
114. Non-Cayley, vertex transitive graphs of order twice the product of two distinct odd primes, (with A. A. Miller), J. Alg. Combin. 3, 77-111.
115. Maximal subgroups of infinite symmetric groups, (with M.Brazil, J.Covington, T. Penttila and A.R.Woods), Proc. London Math. Soc. (3) 68, 77-111.
116. Vertex-transitive graphs which are not Cayley graphs, I, (with B.D.McKay), J. Austral. Math. Soc.(A) 56, 53-63.
117. Infinitary versions of the O'Nan-Scott theorem, (with H.D.Macpherson), Proc. London Math. Soc.(3) 68, 518-540.
118. A characterisation of certain finite alternating and symmetric groups, (with Wujie Shi), Comm. Alg. 22(5), 1507-1530.
119. Most abelian p-groups are determined by the Jacobson radical of their endmorphism rings, (with Jutta Hausen and Phillip Schultz), Math. Zeit. 216, 431-436.
120. Transitive permutation groups with bounded movement, (with A. Gardiner), J. Algebra 168, 798-803.
121. Kronecker classes of fields and covering subgroups of finite groups, J. Austral. Math. Soc. (A) 57, 17-34.
122. On 4-valent symmetric graphs, (with A. Gardiner), European J. Combin.15, 375-381.
123. A characterisation of certain families of 4-valent symmetric graphs, (with A. Gardiner), European J. Combin. 15, 383-397.
1995
124. Balanced directed cycle designs based on cyclic groups, (with C. Nilrat), J. Austral. Math. Soc.(A) 58, 210-218.
125. Orbit lengths of permutation groups, and group rings of locally-finite simple groups of alternating type, (with A. Zalesskii), Proc. London Math. Soc. (3) 70, 313-335.
126. Cycle types forbidden in infinite primitive permutation groups, (with H. D. Macpherson), J. Algebra 175, 212-240.
127. The separation theorem for group actions, in Ordered groups and infinite permutation groups, Ed: W. Charles Holland, Kluwer, Dordrecht, Boston, London, pp. 195-219.
128. A geometrical approach to imprimitive symmetric graphs, (with A. Gardiner), Proc. London Math. Soc. (3) 71, 524-546.
129. Restricted movement for intransitive group actions, in Groups-Korea '94, Eds: A. C. Kim and D. Johnson, de Gruyter, Berlin, New York, pp. 267-275.
130. Constructions of 2-arc transitive directed graphs,(with M. Conder and P. Lorimer) J. Austral. Math. Soc (A) 59, 61-80.
131. Subsets close to invariant subsets for group actions, (with Leonid Brailovsky and Dmittri Pasechnik), Proc. Amer. Math. Soc. 123, 2283-2295.
132. Cyclic matrices over finite fields, (with P. M. Neumann), J. London Math. Soc. 52, 263-284.
1996
133. On the characterisation of AG(n,q) by its parameters as a nearly triply regular design, (with Arlene A. Pascasio and Blessilda Raposa), Designs, Codes and Cryptography 8, 173-179.
134. Ovoids and monomial ovals,(with D.G.Glynn, C.M.O'Keefe, and T.Penttila), Geom. Ded.. 59, 223-241.
135. On primitive representations of finite alternating and symmetric groups with a 2-transitive subconstituent, (with Jie Wang), J. Algebra180, 808-833.
136. Transitive permutation groups of minimal movement, (with A. Mann), J. Algebra 181, 903-911.
137. Remarks on path-transitivity in finite graphs, (with M. D. E. Conder), European J. Combin. 17, 371-378.
138. The finite simple groups with at most two fusion classes of every order (with Cai Heng Li), Comm. Alg. 24, 3681-3704.
139. An inequality for tactical configurations (with P. M. Neumann), Bull. London Mathematical Society 28, 471-475.
140. Vertex-transitive graphs that are not Cayley graphs, II, (with B.D.McKay), J. Graph Theory 22, 321-334.
141. Classification of 2-quasi-invariant sets, (with L. Brailovsky and D. V. Pasechnik), Ars Combin. 42, 65-76.
142. Non-symmetric nearly triply regular designs, (with Blessilda Raposa), Discrete Math. 151, 201-212.
143. On factorisations of almost simple groups, (with M. W. Liebeck and J. Saxl), J. Algebra 185, 409-419.
144. On block-transitive designs with affine automorphism group, (with R. Mathon), J. Statist. Planning 56, 203-221.
1997
145. Antipodal distance transitive covers of complete bipartite graphs, (with A. A. Ivanov, R. Liebler and T. Penttila), European J. Combin. 18, 11-34.
146. Implementing a recognition algorithm for classical groups, (with A. Niemeyer), in Groups and Computation II, Eds: Larry Finkelstein and William M. Kantor, DIMACS series in Discrete Math. and Theoretical Computer Science 28, 273-296.
147. Finite transitive permutation groups and finite vertex-transitive graphs, (with the assistance of Cai Heng Li and Alice C. Niemeyer), in Graph Symmetry: Algebraic Methods and Applications, NATO ASI Ser.C 497, pp. 277-318.
148. Finite quasiprimitive graphs, in Surveys in Combinatorics, 1997, Ed: R. A. Bailey, London Math. Soc. Lecture Note Series 241, Cambridge University Press, Cambridge, pp. 65-85.
149. On the distance between distinct group Latin squares, (with D. Donovan and S. Oates-Williams), J. Combin. Designs 5, 235-248.
150. Partition graphs for finite symmetric groups, (with Margaret Morton and Marston Conder), J. Graph Theory 25, 107-117.
151. Finite groups in which any two elements of the same order are either fused or inverse-fused, (with Cai Heng Li), Comm. Alg. 25, 3081-3118.
152. Ovoids and translation ovals, (with T. Penttila), J. London Math. Soc. (2) 56, 607--624.
153. Movement and separation of subsets of points under group actions, J. London Mathematical Society (2) 56, 519--528.
154. Polygonal graphs: new families and an approach to their analysis, (with M. Perkel), Congressus Numerantium 124, 161--173.
1998
155. On locally projective graphs of girth 5, (with A. A. Ivanov), J. Alg. Combin. 7, 259-283.
156. On orbital regular graphs and Frobenius graphs, (with X. G. Fang and C. H. Li), Discrete Math. 182, 85-99. (In Editor's Choice Discrete Mathematics, 1998, http://www.elsevier.com/locate/disc)
157. On finite groups with the Cayley isomorphism property, (with Cai Heng Li and Ming Yao Xu), J. Graph Theory 27, 21-31.
158. On classifying all full factorisations and multiple-factorisations of the finite almost simple groups, (with Robert W. Baddeley), J. Algebra204, 129--187.
159. Topological covers of complete graphs, (with A. Gardiner). Math. Proc. Cambridge Philos. Soc. 123, 549--559.
160. On graphs admitting arc-transitive actions of almost simple groups, (with Xin Gui Fang), J. Algebra 205, 37--52.
161. A recognition algorithm for classical groups over finite fields, (with A. Niemeyer), Proc. London Math. Soc. (3) 77, 117--169.
162. Antipodal distance transitive covers of complete graphs, (with C. D. Godsil, and R. A. Liebler), European J. Combin. 19, 455--478.
163. Isomorphisms of finite Cayley digraphs of bounded valency, (with Cai Heng Li and Ming Yao Xu), J. Combin. Theory (B) 73 , 164--183.
164. On vertex-imprimitive graphs of order a product of three distinct odd primes, (with Akbar Hassani and Mohammad Ali Iranmanesh), J. Combin. Math. and Combin. Computing 28, 187--213.
165. Derangements and eigenvalue-free elements in finite classical groups, (with P. M. Neumann), J. London Math. Soc. (2) 58, 564--586.
1999
166. Linear groups with orders having certain large prime divisors, (with R. Guralnick, T. Penttila, and J. Saxl), Proc. London Math. Soc. (3) 78, 167--214.
167. Primitive prime divisor elements in finite classical groups, in Groups St Andrews 1997 in Bath, II, Eds: C. M. Campbell, E. F. Robertson, N. Ruskuc and G. C. Smith, London Math. Soc. Lecture Note Series 261, 605--623.
168. On the isomorphism problem for finite Cayley graphs of bounded valency, (with Cai Heng Li), European J. Combin. 20, 279--292.
169. Transitive permutation groups with bounded movement having maximal degree, (with A. Hassani, M. Khayaty, and E. I. Khukhro), J. Algebra 214, 317--337.
170. Tetravalent graphs admitting half-transitive group actions: alternating cycles, (with D. Maru i ), J. Combin. Theory (B) 75, 188--205.
171. The maximal number of orbits of a permutation group with bounded movement, (with Jung R. Cho and Pan Soo Kim), J. Algebra 214, 625--630.
172. On the movement of a permutation group, (with Peter M. Neumann), J. Algebra 214, 631--635.
173. On transitive permutation groups with primitive subconstituents, (with Dmitrii V. Pasechnik), Bull. London Math. Soc. 31, 257--268.
174. Finite two-arc transitive graphs admitting a Suzuki simple group, (with Xin Gui Fang), Comm. Alg. 27, 3727--3754.
175. Finite two-arc transitive graphs admitting a Ree simple group, (with Xin Gui Fang), Comm. Alg. 27, 3755--3769.
176. A recognition algorithm for non-generic classical groups over finite fields, (with Alice C. Niemeyer), J. Austral. Math. Soc. (A) 67, 223--253.
177. Finite normal edge-transitive Cayley graphs, Bull. Austral. Math. Soc. 60, 207--220.
178. On the automorphism groups of quasiprimitive almost simple graphs, (with Xin Gui Fang and George Havas), J. Algebra 222, 271-283.
179. Completely transitive codes in Hamming graphs, (with Michael Giudici), European J. Combin. 20, 647--661.
180. Two-arc transitive graphs admitting a two-dimensional projective linear group, (with A. Hassani and L. Nochefranca), J. Group Theory 2, 335--353.
2000
181. On the Weiss Conjecture for finite locally-primitive graphs, (with Marston D. Conder and Cai Heng Li), Proc. Edinburgh Math. Soc. 43, 129-138.
182. Finite quasiprimitive group actions on graphs and designs, in Groups - Korea '98, Eds: Young Gheel Baik, David L. Johnson, and Ann Chi Kim, de Gruyter, Berlin and New York, pp. 319-331.
183. On minimal faithful permutation representations of finite groups, (with L. G. Kovacs), Bull. Austral. Math. Soc. 62, 311-317.
184. Vertex-primitive groups and graphs of order twice the product of two distinct odd primes, (with Greg Gamble), J. Group Theory 3, 247-269.
185. A class of finite symmetric graphs with 2-arc transitive quotients, (with Cai Heng Li and Sanming Zhou), Math. Proc. Cambridge Philos. Soc. 129, 19-34.
186. Cyclic matrices in classical groups over finite fields, (with P. M. Neumann), J. Algebra. 234, 367-418.
187. Transitive subgroups of primitive permutation groups, (with M. W. Liebeck and J. Saxl), J. Algebra 234, 291-361.
2001
188. Locally primitive Cayley graphs of finite simple groups, (with Xin Gui Fang and Jie Wang), Science in China (Series A) 44, 58-66. (Version in Chinese appears in Science in China (Series A) 30 (2000), 700-706.
189. On non-Cayley vertex-transitive graphs of order a product of three primes, (with Mohammad A. Iranmanesh), J. Combin. Theory (B) 81, 1-19.
190. Cyclic matrices and the meataxe, (with Peter M. Neumann), in Groups and Computation III, Eds: William M. Kantor, Akos Seress, Ohio State University Mathematical Institute Publications Volume 8, Walter de Gruyter, Berlin, pp.291-300.
191. Line-transitive, point-quasiprimitive automorphism groups of finite linear spaces are affine or almost simple, (with Alan Camina), Aequationes. Math. 61, 221-232.
192. On narrow 6-gonal graphs with a triply transitive suborbit, (with M. Perkel and R. Weiss), J. Alg. Combin. 13, 257-273.
193. Computers in algebra: new answers, new questions, J. Korean Mathematical Society 38, 763-780.
194. Implications of line-transitivity for designs, in Finite Geometries: proceedings of the Fourth Isle of Thorns Conference, Eds: A. Blokhuis, J. W. P. Hirschfeld, D. Jungnickel and J. A. Thas, Developments in Mathematics, Volume 3, Kluwer, Dordrecht, 2001, pp. 305-317.
195. Complexity and computation in matrix groups, (with Alice C. Niemeyer), in Aspects of complexity. Eds: Rod Downey and Denis Hirschfeldt, de Gruyter Series in Logic and its Applications, Volume 4, de Gruyter, Berlin, pp. 87-113.
196. Bounds on finite quasiprimitive permutation groups, (with Aner Shalev), J Austral. Math. Soc. 71, 243-258.
197. Cross-ratio graphs, (with A. Gardiner and Sanming Zhou), J. London Math. Soc. 64, 257-272.
198. Self-complementary vertex-transitive graphs need not be Cayley graphs, (with Cai Heng Li), Bull. London Math. Soc. 33, 653-661.
2002
199. Primitive permutation groups with a common suborbit, and edge-transitive graphs, (with M.W. Liebeck and J. Saxl), Proc. London Math. Soc.84, 405-438.
200. Finite locally-quasiprimitive graphs, (with Cai Heng Li, Akshay Venkatesh and Sanming Zhou), Discrete Math 246, 197-218.
201. Permutation groups and normal subgroups, Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Eds: Li, Ta Tsien et al., Beijing: Higher Education Press. 67-76.
202. Factorisations of characteristically simple groups, (with Csaba Schneider), J. Algebra 255, 198-220.
203. Permutations with restricted cycle structure and an algorithmic application, (with Robert Beals, Charles R. Leedham-Green, Alice C. Niemeyer, and Akos Seress), Combinatorics, Probability and Computing 11, 447-464.
204. Finding optimal routings in Hamming graphs, (with Tian Khoon Lim), European J. Combin. 23, 1033-1041.
205. On the automorphism groups of Cayley graphs of finite simple groups, (with Xin Gui Fang and Jie Wang), J. London Math. Soc. (2) 66, 563--578.
206. Constructing homogeneous factorisations of complete graphs and digraphs, (with Cai Heng Li), Graphs and Combinatorics 18, 757-761.
2003
207. On partitioning the orbitals of a transitive permutation group, (with Cai Heng Li), Trans. Amer. Math. Soc. 355, 637-653.
208. On transitive Cayley graphs of groups and semigroups, (with Andrei Kelarev), European J. Combin. 24, 59-72.
209. Quasiprimitivity: structure and combinatorial applications, Discrete Math. 264, 211-224.
210. Inequalitites involving the Delandtsheer-Doyen parameters for finite line-transitive linear spaces, (with Ngo Dac Tuan), J. Combin. Theory (A) 102, 38-62.
211. Ordered triple designs and wreath products of groups, (with Csaba Schneider), in IMS Lecture Notes -- Monograph Series, Volume 40, Science and Statistics: A Festschrift for Terry Speed, Ed: Darlene R. Goldstein, 103-113.
212. Two-arc closed subsets of graphs, (with Marston Conder and Margaret Morton), J. Graph Theory 42, 350-364.
213. A black-box algorithm for recognising finite symmetric and alternating groups, I, (with Robert Beals, Charles R. Leedham-Green, Alice C. Niemeyer, and Akos Seress), Trans. Amer. Math. Soc. 355, 2097-2113.
214. On primitive overgroups of quasiprimitive permutation groups, (with Robert W. Baddeley), J. Algebra 263, 294--344.
215. Alternating groups acting on finite linear spaces, (with Alan R. Camina and Peter M. Neumann). Proc. London Math. Soc.(3) 87, 29-53.
216. Overgroups of finite quasiprimitive permutation groups, in Groups, Combinatorics and Geometry: Durham 2001, World Scientific, Singapore. Eds: A. A. Ivanov, M. W. Liebeck and J. Saxl, pp. 233-241.
217. Quotients and inclusions of finite quasiprimitive permutation groups, J. Algebra. 269, 329-346.
218. On a theorem of Wielandt for finite primitive permutation groups , (with Anton Betten, Anne Delandtsheer and Alice C. Niemeyer), J. Group Theory 6, 415-420.
219. Three-star permutation groups, (with Peter M. Neumann), Illinois J. Math. 47, 445-452. Also published by the Illinois Journal in The mathematical legacy of Reinhold Baer (January 2004, 586pp., ISBN 0-9746986-0-1).
220. Finite transitive permutation groups and bipartite vertex-transitive graphs, Illinois J. Math. 47, 461-475. Also published by the Illinois Journal in The mathematical legacy of Reinhold Baer (January 2004, 586pp., ISBN 0-9746986-0-1).
221. Finite line-transitive linear spaces: parameters and normal point-partitions, (with Anne Delandtsheer and Alice. C. Niemeyer), Advances in Geometry 3, 469-485.
2004
222. Analysing finite locally s-arc transitive graphs, (with Michael Giudici and Cai Heng Li), Trans. Amer. Math. Soc. 356, 291-317.
223. On tensor factorisation problems, I: the combinatorial problem, (with Peter M.Neumann), LMS J. Comput. Math. 7, 73-100.
224. Finite permutation groups with a transitive minimal normal subgroup, (with John Bamberg) Proc. London Math. Soc (3) 89, 71-103.
225. Identifying Cartesian decompositions preserved by transitive permutation groups (with Robert W. Baddeley and Csaba Schneider), Algebra Colloquium 11, 1-10.
226. Transitive simple subgroups of wreath products in product action, (with Robert W. Baddeley and Csaba Schneider). J. Austral. Math Soc. 77, 55-72.
227. Finite symmetric graphs, in Algebraic Graph Theory, Eds: Lowell W. Beineke and Robin J. Wilson. Encyclopedia of Mathematics and its Applications 102, Cambridge University Press, Cambridge. Chapter 7, pages 179-202.
228. The locally two-arc transitive graphs admitting a Ree simple group, (with Xin Gui Fang an Cai Heng Li) , J. Algebra 282, 638-666.
229. On orbital partitions and exceptionality of primitive permutation groups, (with R. M. Guralnick, Cai Heng Li and J. Saxl), Trans. Amer. Math. Soc. 356, 4857-4872.
2005
230. Some locally 3-arc transitive graphs constructed from triality (with Michael Giudici and Cai Heng Li), J Algebra 285, 11-28.
231. Finite symmetric graphs with two-arc transitive quotients, (with Mohammad A. Iranmanesh and Sanming Zhou), J. Combin. Theory Series B. 94, 79-99.
232. Constructive recognition of finite alternating and symmetric groups acting as matrix groups on their natural permutation modules, (with Robert Beals, Charles R. Leedham-Green, Alice C. Niemeyer, and Akos Seress), J. Algebra 292, 4-46.
233. Generalised sifting in black-box groups, (with Sophie Ambrose, Max Neunhoeffer and Csaba Schneider) LMS Journal of Computation and Mathematics 8, 217-250.
234. Permutation groups, simple groups and sieve methods, (with D.R. Heath-Brown and Aner Shalev), Israel J. Math 148, 347-375.
235. A search algorithm for line-transitive, point-imprimitive linear spaces, (with Anton Betten, Greg Cresp, and Alice C. Niemeyer), Bayreuther Mathematische Schriften 74, 42-57. Editors: A. Kerber, A. Kohnert: ALCOMA'05. Proceedings of the Conference on Algebraic Combinatorics and Applications, Designs and Codes (April 3-10, 2005, Thurnau).
2006
236. Homogeneous factorisations of graphs and digraphs, (with M. Giudici, C. H. Li, and P Potocnik), European J. Combin. 27,11-37.
(This paper was ranked number 1 in the TOP25 Hottest Articles downloaded in the period October-December 2005 within the European Journal of Combinatorics.)
237. Locally 2-arc transitive graphs, homogeneous factorizations and partial linear spaces, (with M. Giudici and C. H. Li), J. Combin. Designs 14, 139-148.
238. Innately transitive subgroups of wreath products in product action, (with Robert Baddeley and Csaba Schneider), Trans. Amer. Math. Soc. 358, 1619-1641.
239. Seminormal and subnormal subgroup lattices for transitive permutation groups, J. Australian Math. Soc. 80, 45-63.
240. Limits of vertex-transitive graphs, (with Michael Giudici, Cai Heng Li, Akos Seress and Vladimir Trofimov), Contemporary Math. 402. Eds: Z. Arad, M. Bianchi, W. Herfort, P. Longobardi, M. Maj and C. Scoppola.
pp. 159-170.
241. On minimal subdegrees of finite primitive permutation groups, (with Michael Giudici, Cai Heng Li, Akos Seress and Vladimir Trofimov). in: Finite Geometries, Groups, and Computation. Eds. A. Hulpke, R. Liebler, T. Penttila, A. Seress. DeGruyter. Berlin, New York.
pp. 75-94.
242. Locally s-arc transitive graphs with two different quasiprimitive actions, (with Michael Giudici and Cai Heng Li) J. Algebra 299, 863-890.
243. A reduction algorithm for large-base primitive permutation groups, (with Maska Law, Alice Niemeyer and Akos Serress), LMS J. Comput. Math. 9, 159-173.
244. On the frequency of permutations containing a long cycle, (with Alice C. Niemeyer) J. Algebra 300, 289-304.
245. Imprimitive flag-transitive symmetric designs, (with Shenglin Zhou) J.Combin. Theory, Series A 113, 1381-1395.
246. Characterising finite locally s-arc transitive graphs with a star normal quotient, (with M. Giudici and C. H. Li) J. Group Theory 9,641-658.
247. The k-star property for permutation groups, (with Rosemary Clough and Csaba Schneider), Thai Journal of Mathematics 4, 251-256.
2007
248. On limit graphs of finite vertex-primitive graphs, (with Michael Giudici, Cai Heng Li, Akos Seress and Vladimir Trofimov) J.Combin. Theory, Series A 114, 110-134. (This paper was ranked in the TOP25 Hottest Articles downloaded in the period October, November and December, 2006 within the Journal of Combinatorial Theory, Series A.)
249. A new family of locally 5-arc transitive graphs, (with Michael Giudici and Cai Heng Li), European J. Combin. 28, 533-548.
250. Homogeneous factorisations of complete multipartite graphs, (with M. Giudici, C. H. Li, and P Potocnik), Discrete Math. 307, 415--431.
251. Quasiprimitive groups and blow-up decompositions, (with Robert W. Baddeley and Csaba Schneider), J. Algebra 311, 337-351. doi.org/10.1016/j.jalgebra.2006.11.006
252. On permutations of order dividing a given integer, (with Alice C. Niemeyer). J. Alg. Combin. 26, 125-142. doi.org/10.1007/s10801-007-0056-5
253. Three types of inclusions of innately transitive permutation groups into wreath products in product action, (with Csaba Schneider), Israel J. Math. 158, 65-104. arXiv:math/0406600
254. The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair. Designs, Codes and Crypt. 44, 115 - 132.
255. On the proportion of permutations of order a multiple of the degree, (with Alice C. Niemeyer). J. London Math. Soc. 76, 622-632. doi: 10.1112/jlms/jdm084
256. Extremely primitive groups, (with Avinoam Mann and Akos Seress). Groups, Geometry and Dynamics 1, 623-660.
2008
257. Intransitive Cartesian decompositions preserved by innately transitive permutation groups, (with Robert Baddeley and Csaba Schneider), Trans. Amer. Math. Soc 360, 743-764. PII: S 0002-9947(07)04223-7 arXiv:math/0405241
258. On the domination number of the generalized Petersen graphs, (with Mehdi Behzad and Arash Behzad), Discrete Math. 308, 603-610. doi:10.1016/j.disc.2007.03.024. [In the ScienceDirect Top 25 Hottest Articles, Discrete Math. Oct-Dec 2007.]
259. Homogeneous Factorisations of Johnson Graphs, (with Maria Cristeta Cuaresma and Michael Giudici). Designs, Codes and Cryptography 46, 303-327. doi:10.1007/s10623-007-9158-2.
260. Classification of line-transitive point-imprimitive linear spaces with line size at most 12, (with Shenglin Zhou). Designs, Codes and Crypt. 47, 99-111. doi: 10.1007/s10623-007-9077-2.
261. Transitive decompositions of graph products: rank 3 grid type, (with John Bamberg and Geoffery Pearce), J. Group Theory 11, 185-228. doi: 10.1515/JGT.2008.011 Published on-line March 2008.
262. Homogeneous factorisations of graph products, (with Michael Giudici, Cai Heng Li and Primoz Potocnik). Discrete Math. 308, 3652- 3667. doi: 10.1016/j.disc.2007.07.025
263. Primitive decompositions of Johnson graphs, (with Alice Devillers, Michael Giudici and Cai Heng Li). J. Combin. Theory, Series A. 115, 925-966. doi:10.1016/j.jcta.2007.11.005 [In the ScienceDirect Top 25 Hottest Articles. J. Combin. Theory (A) Jan-Mar and July-Sep 2008.]
264. Symmetrical Covers, Decompositions and Factorisations of Graphs, (with Michael Giudici and Cai Heng Li), in Applications to Group Theory and Combinatorics. Eds: Jack Koolen, Jin Ho Kwak and Mingyao Xu. A. A. Balkema Publishers (Taylor & Francis).
265. Computing minimal polynomials of matrices, (with Max Neunhoeffer). The LMS Journal of Computation and Mathematics 11, 252-279, arXiv:0705.0933v1 [math.RA] Journal
2009
266. Homogeneous factorisations of complete graphs with edge-transitive factors, (with Cai Heng Li and Tian Khoon Lim), J. Alg. Combin. 29, 107 - 132. doi:10.1007/s10801-008-0127-2
267. A note on arc-transitive circulant digraphs, (with Jing Xu), J. Group Theory, 12, 107-117. doi:10.1515/JGT.2008.064
TO APPEAR
268. On regular subgroups of primitive permutation groups, (with M. W. Liebeck and J. Saxl) Memoirs Amer. Math. Soc. (accepted September, 2006).
269. On Generalised Paley Graphs and their automorphism groups, (with Tian Khoon Lim). Michigan Math. J. (Accepted June 27, 2007). arXiv:math/0605252v1 [math.CO]
270. Finding involutions in finite Lie type groups of odd characteristic, (with Frank Lubeck and Alice C Niemeyer), J. Algebra, Accepted May 16, 2008
271. Common circulant homogeneous factorisations of the complete digraph, (with Cai Heng Li and Linda Stringer). Discrete Math. Accepted June 25, 2008.
272. Line-transitive point-imprimitive linear spaces: the grid case, (with Anton Betten and Greg Cresp). Innov. Incidence Geom. Accepted August 12, 2008.
273. Maximal subsets of pairwise non-commuting elements of finite three-dimensional general linear groups. (with Azizollah Azad). Bull. Austral. Math. Soc. Accepted September 30, 2008.
274. Flag-transitive symmetric 2-(96,20,4)-designs. (with Maska Law and Sven Reichard). J. Combinatorial Theory, Series A. Accepted December 30, 2008.
275. On bipartite divisor graphs for group conjugacy class sizes. (with Daniela Bubboloni, Silvio Dolfi and Mohammadali A. Iranmanesh.) J. Pure and Applied Algebra, Accepted January 5, 2009.
276. Imprimitive symmetric graphs with cyclic blocks, (with Cai Heng Li and Sanming Zhou). European J. Combin. Accepted February 18, 2009.
277. Towards an efficient Meat-axe algorithm using f-cyclic matrices: the density of uncyclic matrices in M(n,q), (with Stephen Glasby). J. Algebra. 27 February 2009.
278. Regular permutation groups and Cayley graphs, In Proceedings of EWM Conference, Cambridge, 2007, World Scientific. Accepted March 1, 2009.
279. Some graphs related to the small Mathieu groups, (with Alice Devillers, Michael Giudici, and Cai Heng Li). European J. Combin. March 5, 2009.
SUBMITTED
280. Fundamental dominations in graphs, (with Mehdi Behzad and Arash Behzad), March 6, 2008
281. Finite line-transitive linear spaces: theory and search strategies. (with Anton Betten, Anne Delandtsheer, Maska Law, Alice C. Niemeyer and Shenglin Zhou). September 20, 2008. arXiv:math/0701629v2 [math.CO]
282. Bipartite divisor graphs for integer subsets. (with Mohammad A. Iranmanesh). May 23, 2008.
283. An explicit version of a theorem of Erdos and Turan on random permutations. (with Alice C. Niemeyer). Nov 28, 2008.
284. On triple factorisations of finite groups (with S. Hassan Alavi). January 21, 2009.
285. Estimating proportions of elements in finite simple groups of Lie type, (with Alice C. Niemeyer). 4 February, 2009.
286. Invariant relations and Aschbacher classes of finite linear groups (with Michael Giudici, Cai Heng Li, and Jing Xu). 17 October, 2008.
287. Proportions of cyclic matrices in maximal reducible matrix groups and algebras. (with Scott Brown and Michael Giudici). Submitted March 17, 2009.
Other Publications
1985
1. Mathematics and weaving: I. Fabrics and how they hang together, Function 9, Part 4, 7-10, reprinted in Matimyas Mat. 11,(1987) No 2, 5-9.
2. Mathematics and weaving: II. Setting up the loom and factorizing matrices, Function 9, Part 5, 12-17.
1986
3. Mathematics and weaving, in The Hanna Neumann Memorial Lectures at ICME 5, Notes on Pure Mathematics, 13, Australian National University, Ed. M.F.Newman, 61-74.
1988
4. Discussion on symmetry models and hypotheses for structured data layouts (by A.P. Dawid), J. Royal Statist. Soc. B 50, 25-26.
1991
5. Discussion of the paper by Bailey, J. Royal Statist. Soc. B 53, 70.
1993
6. Mathematics in Australia and in Australian schools, in New Horizons, New Challenges, Ed. T. Herington, AAMT, Adelaide, pp. 48-53.
7. Change in Mathematics Curriculum, Teaching Mathematics No. 3.
8. (Book Review) Finite Soluble Groups, by Klaus Doerk and Trevor Hawkes, De Gruyter Exp. Math. 4, de Gruyter, Berlin, New York, 1992, in Bull. Amer. Math. Soc. 29 (1993), 104-106.
1994
9. Problem session at ALCOM-91, (with A. A. Ivanov), European J. Combin.15, 105-112.
1995
10. Weaving a mathematical tale, in Regional Collaboration in Mathematics Education 1995, Eds: Robert P. Hunting, Gail E. Fitzsimons, Philip C. Clarkson and Alan J. Bishop, Monash University, Melbourne, pp. 69-74. Reprinted in Advanced Mathematical Discourse, by Leigh N. Wood and Gillian Perrett, University of Technology, Sydney, 1997, pp. 209-218.
1997
11. (Book Review) Julia; a life in mathematics, by Constance Reid, Math. Assoc. of America, Washington, 1996, in Mathematics Competitions10, 108-111.
1999
12. (Book Review) Arithmetical Similarities by Norbert Klingen, Oxford Univ. Press, 1998, in Bull. London Math. Soc. 31, 744-745.
2002
13. Recognising matrix groups over finite fields, (with Charles R. Leedham-Green, Alice C. Niemeyer, and E.A. O'Brien), invited contribution in Computer Algebra Handbook, Foundations, Applications, Systems, Eds. J. Grabmeier, E. Kaltofen, V. Weispfenning, Springer-Verlag, Berlin-New York, pp 474-475.
2003
14. Computational opportunities in Algebra, Number Theory, and Combinatorics, (with Eric Bach et al), Report to the US National Science Foundation, http://www.aimath.org/computation/
15. Mathematics: beauty, truth and the real world, Menemui Matematik (Discovering Mathematics) 25, 1-8.
2004
16. Essential elements of Mathematics, a paper originally written in response to an invitation from the Victorian Curriculum and Assessment Authority with respect to its work on developing a Framework of Essential Learning. The views expressed in the paper are mine, and do not necessarily represent the views of the Authority. Published in two parts in The Globe, Vol 10, No 2, page 7 (part 1), and Vol 10, No. 3, Pages 5-6 (part 2).
17. Maths learning cross-curricula, School Matters, 10, June 25, 2004, page 9.
2005
18. (Book Review) Essentials of mathematics: introduction to theory, proof and professional culture, by Margie Hale, The Mathematical Association of America, Washington, USA, 2003. In Mathematics Competitions. Reprinted in the Australian Mathematical Society Gazette 32, Number 2, pp 131-133.
19. (Book Review) Mathematics of Genome Analysis, by Jerome K. Percus, Cambridge Studies in Mathematical Biology 17, Eds: C. Cannings, F. C. Hoppensteadt, and L. A. Segel, Cambridge University Press, Cambridge, 2002. In the Australian Mathematical Society Gazette 32, Number 2, pp 128-130.
20. (Abstract) On minimal subdegrees of finite primitive permutation groups, (with Akos Seress), Oberwolfach Reviews. Report No. 12/2005, Groups and Geometries, pp. 690-693.

2006
21. (Abstract) Computing minimal polynomials, (with Max Neunhoffer), Oberwolfach Reviews. , Report No. 30/2006, Computational Group Theory, pp 1843-1844.
22. (Abstract) Permutations having order a multiple of the degree, (with Steve Linton, Alice C. Niemeyer and Sven Reichard), Oberwolfach Reviews. Report No. 30/2006, Computational Group Theory, pp 1857-1859.
23. (Abstract) Recognising k-set actions of symmetric groups, (with Steve Linton and Alice C. Niemeyer), Oberwolfach Reviews. Report No. 30/2006, Computational Group Theory, pp. 1859-1861.
2007
24. Introduction by the organisers, (with Robert Guralnick, Jan Saxl and Katrin Tent), Oberwolfach Reviews. Report No. 37/2007, Permutation Groups, pp 2173-2175.
2008
25. (Book Review) An Introduction to Quasigroups and their Representations, by Jonathan D. H. Smith. Chapman & Hall/CRC, Taylor and Francis Group Boca Raton, Florida, 2007. In Siam Review 50, No 2., pp 402-403.
26. (Abstract) Strong involutions in finite Lie type groups of odd characteristic (with Frank Lubeck and Alice C. Niemeyer), Oberwolfach Reviews. Report No. 20/2008, Groups and Geometries, pp. 28-29.
1974
1. Pure mathematics in Australia, (with W.R. Bloom, J. Flood, R.H. Hunter, J.F. Price, K.M. Rangaswamy, J.W. Sanders, H. Silcock, and J. Staples), Vestes, 18-21.
1985
2. Letter to Nambour High School End of Year Assembly, 1984, in Queensland Senior Mistresses Newsletter, 1985.
3. Speech for End of Year Assembly, 23rd November 1984, Brisbane Girls' Grammar School Magazine, 1985, pp 7-8.
1986
4. Speech to the Technological Futures for Women Seminar, Premier's Department, Western Australia, November 1986.
1987
5. The Mathematics Curriculum and Teaching Program,(with D. Clarke and C. Lovitt), Gazette Austral. Math. Soc., 14, 11-12.
6. What makes girls choose mathematics? Parabola.
7. Foreword, in Mathematical Olympiads,The 1987 Australian Scene, Canberra College of Advanced Education, Canberra, 1987, 1-2.
1989
8. Why don't girls do mathematics? (an edited version of a public lecture at the University of Adelaide on Gender and Curriculum in the Mathematical Sciences, 9th May, 1989), Lumen,18, No.11, 7-8.
1990
9. Research, a personal reflection, Research Prospectus, University of Western Australia, 95.
1991
10. Pure and applied brain power, The Australian Way, January, 37-38.
1993
11. National Mathematics Profile (Letter to State and Federal Ministers of Education), Australian Mathematical Society Gazette, 20, pp 57-58; reprinted in : Highest Common Factor (Newsletter of AAMT), No 2, June, pp 1, 4.
12. President's Report, 1993, Australian Mathematical Society Gazette 20, pp. 99-101.
1994
13. President's column, Australian Mathematical Society Gazette 21 , No. 1, pp. 2-3.
14. President's column, Australian Mathematical Society Gazette 21, No. 2, p. 34.
15. President's column, Australian Mathematical Society Gazette 21, No. 3, p. 66.
16. Occasional Address, Graduation Ceremony, University of South Australia.
17. President's report to the Society, 1994, Australian Mathematical Society Gazette 21, No. 4, pp. 106-107.
18. Foreword, in Australian Mathematics Competition, 17thAnnual Solutions and Statistics 1994, Ed. by D. G. Pederson and J. E. Bray, Australian Mathematics Trust, Canberra, vii.
1996
19. Postgraduate supervision, Issues of teaching and learning, Vol. 2, No. 2, page 1, University of Western Australia.
1997
20. Science careers, Australasian Science 18 36-37.
1998
21. Portrait of Professor Bernhard Neumann, Australian Mathematical Society Gazette, 25 No. 1, pp. 30-31.
22. Last Word, UWA Leader, August, 1998.
2001
23. Chapter in The God Factor, Ed: John Ashton, Harper Collins.
2002
24. Promoting the University, The Last Word, UWA News, 21, Number 6, p. 12, May, 2002.
25. Speech at the Australian Mathematics Trust Medal presentations, Perth November 8, 2002. http://www.amt.canberra.edu.au/praegers.html
2003
26. Speech for B. H. Neumann Memorial Service, Canberra, December 13, 2002, Australian Mathematical Society Gazette 30, No. 1, pp 45-47.
27. International Congress of Mathematicians ICM2002 Beijing, in Aftermath, (Magazine of the Maths Society, The School of Mathematics and Statistics, The University of Western Australia), Issue 1, 2003, page 3.
2004
28. Occasional address to the March 2004 reception for the Order of Australia recipients in the New Years Honours List - March 17, 2004, The Order News (A newsletter publication for members of The Order of Australia Association, Western Australian Branch), Issue 2, pages 5-6. Re-published, with permission, in the Wisenet Journal Vol 66, July 2004, pp. 8-9.
29. Last word: Leadership Development for Women ten years on, UWA News, 23, Number 11, p. 12, August, 2004.
2006
30. The life of Simon Fitzpatrick, Journal of Convex Analysis, Vol 13, pages 463-466.
2007
31. Maths olympiad at UWA, The Engineering Essential, University of Western Australia, February 2007, p2.
32. Editorial, IMU-Net 22, March 2007. (A bimonthly email newsletter from the International Mathematical Union: http://www.mathunion.org/Publications/Newsletter/archive/index.html)
33. How a young Australian mathematician working in Cambridge became editor of an Australian mathematics magazine, An interview of Rachel Thomas by Cheryl E. Praeger. WISENet Journal, Vol 75, pages 21-22.
2008

Selected works about Cheryl E. Praeger
1. Women sum it up: biographical sketches of women mathematicians, by Diane Farquhar and Lynn Mary-Rose, Hazard Press, Christchurch, 1989, pp. 79--80.
2. Endnote in the novel Leaning towards infinity, by Susan Woolfe, 1996, p.??.
3. Chapter Story, for Chapter 8, in New Course, Mathematics, Year 9, Advanced, by Paul Bigelow and Graeme Stone (authors), and J. K. McLeod and G. D. Ganderton (consultants), Macmillan Education Australia, Melbourne, 1996, p. 227.
4. Interview carried out by Dr Ragbir Bhathal on 11 April 1997 on behalf of the National Library of Australia, for the National oral history project on eminent Australian women scientists. The interview tapes and transcript are lodged in the Oral History section of the National Library of Australia in Canberra, Australia (TRC-3746).
5. Notable women in mathematics, a biographical dictionary, Eds: Charlene Morrow and Teri Perl, Greenwood Press, Westport, Connecticut, and London, 1998, pp. 169--173 (by Charlene Morrow).
6. Profiles: Australian Women Scientists, by Ragbir Bhathal, National Library of Australia, Canberra, 1999, pp.143--151.
7. Profile on the West Australian women in science Swim with dragons web site. 1999. http://www.swimwithdragons.com.au/leaders.html
8. Biographies of Women Mathematicians, Department of Mathematics, Agnes Scott College, Decatur, Georgia (by Deanna Mullis, Class of 1999). http://www.agnesscott.edu/lriddle/women/praeger.htm
9. Australian Academy of Science, Interviews with Australian Scientists. 1999; video and web version: http://www.science.org.au/scientists/index.htm
RESEARCH REPORTS (NOT PUBLISHED ELSEWHERE)
1. Rooted trees with height distributions (with P.Schultz), University of Western Australia, 1982.
2. Some graphs related to the Johnson association schemes, University of Western Australia, 1982.
3. Subgroups close to normal subgroups: a commentary on a paper of G.M.Bergman and H.W. Lenstra, Australian National University, 1989