Peter Cameron's publications 1990-1999

See also the list of publications in Pure Mathematics by members of the Mathematics Research Centre at Queen Mary.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1999:

Permutation Groups, London Math. Soc. Student Texts 45, Cambridge University Press, Cambridge, 1999, 232pp. ISBN:
- 0 521 65302 9 (Hardback)
- 0 521 65378 9 (Paperback)
Sets, Logic and Categories, Springer Undergraduate Mathematics Series, Springer-Verlag, London, 1999, viii+180pp. ISBN: 1-85233-056-2.
(Editor) Problems from the Sixteenth British Combinatorial Conference, Discrete Math. 197/198 (1999), 799-812.
(with E. A. Bender, A. M. Odlyzko and L. B. Richmond) Connectedness, classes and cycle index, Combinatorics, Probability and Computing 8 (1999), 31-43.
(with P. Erdős) Notes on sum-free and related sets, Combinatorics, Probability and Computing 8 (1999), 95-107.
An extremal problem related to biplanes, Australasian J. Combinatorics 20 (1999), 97-100.
SGDs with doubly transitive automorphism group, J. Graph Theory 32 (1999), 229-233.
Book review: Erdős on graphs: his legacy of unsolved problems by F. Chung and R. Graham, Nieuw Archief voor Wiskunde (3) 17 (1999), 289-290.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1998:

Introduction to Algebra, Oxford University Press, Oxford, 1998, x+295pp. ISBN:
- 0-19-850195-1 (Hardback)
- 0-19-850194-3 (Paperback)
On an algebra related to orbit-counting, J. Group Theory 1 (1998), 173-179.
(with N. J. Calkin) Almost odd random sum-free sets, Combinatorics, Probability and Computing 7 (1998), 27-32.
A census of infinite distance-transitive graphs, Discrete Math. 192 (1998), 11-26.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1997:

(with A. R. Calderbank, W. M. Kantor and J. J. Seidel) Z₄-Kerdock codes, orthogonal spreads, and extremal Euclidean line systems, Proc. London Math. Soc. (3) 75 (1997), 436-480.
The random graph, pp. 331-351 in The Mathematics of Paul Erdős (ed. R. L. Graham and J. Nesetril), Springer, Berlin, 1997.
First-order logic, pp. 70-85 in Graph Connections: Relationships between graph theory and other areas of mathematics (ed. L. W. Beineke, R. J. Wilson), Oxford Univ. Press, Oxford 1997.
Groups, pp. 128-140 in Graph Connections: Relationships between graph theory and other areas of mathematics (ed. L. W. Beineke, R. J. Wilson), Oxford Univ. Press, Oxford 1997.
On the probability of connectedness, Discrete Math. 167/168 (1997), 173-185.
Finite geometry after Aschbacher's Theorem: PG(n,q) from a Kleinian viewpoint, pp. 43-61 in Geometry, Combinatorial Designs and Related Structures: Proceedings of the First Pythagorean Conference (ed. J.W.P. Hirschfeld, S.S. Magliveras, M.J. di Resmini), Cambridge University Press, Cambridge, 1997.
The algebra of an age, pp. 126-133 in Model Theory of Groups and Automorphism Groups (ed. David M. Evans), London Mathematical Society Lecture Notes 244, Cambridge University Press, Cambridge, 1997.
Oligomorphic groups and homogeneous graphs, pp. 23-74 in Graph Symmetry: Algebraic Methods and Applications (ed. Gena Hahn and Gert Sabidussi), NATO ASI Series C, Vol. 497, Kluwer, Dordrecht, 1997.
Cofinitary permutation groups, pp. 16-21 in Proceedings of the First Jamaican Conference on Group Theory (ed. T. Foguel and J. Minty), University of the West Indies, Kingston, 1997.
Aspects of cofinitary permutation groups, pp. 93-99 in Advances in Algebra and Model Theory (ed. M. Droste and R. Gobel), Gordon and Breach, 1997.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1996:

Cofinitary permutation groups, Bull. London Math. Soc. 28 (1996), 113-140.
Metric and topological aspects of the symmetric group of countable degree, Europ. J. Combinatorics 17 (1996), 135-142.
Stories about groups and sequences, Designs, Codes, Cryptography 8 (1996), 109-134.
Stories from the Age of Reconstruction, Congressus Numerantium 113 (1996), 31-41.
Cycle-closed permutation groups, J. Algebraic Combinatorics 5 (1996), 315-322.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1995:

Counting two-graphs related to trees, Electronic J. Combinatorics 2 (1995), #R4.
(with F. Buekenhout) Projective and affine geometry over division rings, pp. 27-62 in Handbook of Incidence Geometry (ed. F. Buekenhout), Elsevier, Amsterdam, 1995.
Note on large sets of infinite Steiner systems, J. Combinatorial Design 3 (1995), 307-311.
(with D. Ghinelli) Tubes of even order and flat pi.C₂ geometries, Geometriae Dedicata 55 (1995), 265-278.
Sequence operators from groups, Linear Algebra and Applications 226/228 (1995), 109-113.
(Editor) Research problems (Problems from the Fourteenth British Combinatorial Conference), Discrete Math. 138 (1995), 405-411.
(with D. G. Fon-Der-Flaass) Bases for permutation groups and matroids, Europ. J. Combinatorics 16 (1995), 537-544.
(with D. G. Fon-Der-Flaass) Orbits of antichains revisited, Europ. J. Combinatorics 16 (1995), 545-554.
Permutation groups, pp. 611-645 in Handbook of Combinatorics (ed. R. L. Graham, M. Grötschel and L. Lovász), Elsevier, Amsterdam, 1995.
Finite geometries, pp. 647-691 in Handbook of Combinatorics (ed. R. L. Graham, M. Grötschel amd L. Lovász), Elsevier, Amsterdam, 1995.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1994:

(with J. J. Seidel and S. V. Tsaranov) Signed graphs, root lattices and Coxeter groups, J. Algebra 164 (1994), 173-209.
Combinatorics: Topics, Techniques, Algorithms, Cambridge University Press, Cambridge, 1994. ISBN
- 0 521 45133 7 (hardback);
- 0 521 45761 0 (paperback)
Ovoids in infinite incidence structures, Arch. Math. 62 (1994), 189-192.
(with A. Beutelspacher) Transfinite methods in geometry, Bull. Belgian Math. Soc. 1 (1994), 337-347.
How few entries determine any Latin square? Bull. Inst. Combinatorics Appl. 10 (1994), 63-65.
An orbit theorem for Steiner triple systems, Discrete Math. 125 (1994), 97-100.
Two-graphs and trees, Discrete Math. 127 (1994), 63-74.
Infinite linear spaces, Discrete Math. 129 (1994), 29-41.
Coloured spheres and quantum mechanics, Bull. Inst. Combinatorics Appl. 11 (1994), 126-128.
Bases in permutation groups, pp. 181-198 in Automorphisms of First-Order Structures (ed. R. Kaye and H. D. Macpherson), Oxford University Press, Oxford, 1994.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1993:

Permutation Groups, Tempus Lecture Notes 6 (Discrete Mathematics and Applications), University of East Anglia, Norwich 1993.
(with G. Korchmàros) One-factorizations of complete graphs with a doubly transitive automorphism group, Bull. London Math. Soc. 25 (1993), 1-6.
(with W. M. Kantor) Random permutations: Some group-theoretic aspects, Combinatorics, Probability and Computing 2 (1993), 257-262.
Some multiply transitive permutation groups, Coding Theory, Design Theory, Group Theory: Proceedings of the Marshall Hall Conference (ed. D. Jungnickel and S. A. Vanstone), 1-11, Wiley, New York, 1993.
(with C. Martins) A theorem on reconstructing random graphs, Combinatorics, Probability and Computing 2 (1993), 1-9.
(with C. E. Praeger) Block-transitive t-designs, I: point-imprimitive designs, Discrete Math. 118 (1993), 33-43.
(with C. E. Praeger) Block-transitive t-designs, II: large t, Finite Geometry and Combinatorics (ed. A. Beutelspacher et al.), Cambridge Univ. Press, 1993.
(with C. E. Praeger and N. C. Wormald) Highly arc-transitive digraphs and universal covering digraphs, Combinatorica 13 (1993), 1-21.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1992:

(editor, with H. C. A. van Tilborg) A Collection of Contributions in Honour of Jack van Lint, Topics in Discrete Math. 7, North-Holland, Amsterdam, 1992.
(with A. M. Cohen) On the number of fixed point free elements in a permutation group, in: A Collection of Contributions in Honour of Jack van Lint (ed. P. J. Cameron and H. C. A. van Tilborg), Topics in Discrete Math. 7, North-Holland, Amsterdam, 1992, pp. 135-138.
(with J. A. Thas and A. Blokhuis) On a generalization of a theorem of B. Segre, Geometriae Dedicata 43 (1992), 299-305.
(with C. E. Praeger) Partitioning into Steiner systems, pp. 61-71 in Combinatorics '88 (ed. A. Barlotti et al.), Mediterranean Press, Roma, 1992.
Quasi-symmetric designs possessing a spread, pp. 231-236 in Combinatorics '88 (ed. A. Barlotti et al.), Mediterranean Press, Roma, 1992.
(with T. Kataoka and M. Kiyota) Sharp characters of finite groups of type {-1,1}, J. Algebra 152 (1992), 248-258.
Extended generalised quadrangles -- a survey, Sankhya: The Indian Journal of Statistics 54 (1992), 89-95.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1991:

(with J. H. van Lint) Graphs, Codes, Designs and their Links, London Math. Soc. Student Texts 22, Cambridge Univ. Press, 1991.
Projective and Polar Spaces, QMW Maths Notes 13, QMW, London, 1991.
Several 2-(46, 6, 3) designs, Discrete Math. 87 (1991), 89-90.
The age of a relational structure, Discrete Math. 95 (1991), 49-67.
Covers of graphs and EGQs, Discrete Math. 97 (1991), 83-92.
(with J. J. Cannon) Fast recognition of doubly transitive groups, J. Symbolic Comput. 12 (1991), 459-474.
Infinite permutation groups in enumeration and model theory, Proc. International Congress of Mathematicians (Kyoto 1990), 1431-1441, Springer-Verlag, Tokyo, 1991.
(with F. C. Bussemaker, J. J. Seidel and S. V. Tsaranov) Tables of Signed Graphs, Technical Report 91-WSK-01, Eindhoven University of Technology, 1991.
(with J. I. Hall) Some groups generated by transvection subgroups, J. Algebra, 140 (1991), 184-209.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

1990:

Oligomorphic Permutation Groups, London Math. Soc. Lecture Notes 152, Cambridge Univ. Press, 1990.
(with P. Erdős) On the number of sets of integers with various properties, Number Theory (ed. R. A. Mollin), 61-79, de Gruyter, Berlin, 1990.
(with D. R. Hughes and A. Pasini) Extended generalized quadrangles, Geometriae Dedicata 35 (1990), 193-228.
(with P. H. Fisher) Small extended generalized quadrangles, Europ. J. Combinatorics 11 (1990), 403-413.

1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
1969-1979			1980-1989			2000-2009

My homepage

Peter J. Cameron
1 March 2001