Canberra 1989

Outline
The Third International Conference on the Theory of Groups and Related Topics was held at the Australian National University in Canberra (Australia) from 25-29 September, 1989.

Predecessors

 * Canberra 1965
 * Canberra 1973

Participation
The total number of participants at the conference was 103, including 54 overseas participants from 17 countries.

Finances and support

 * The conference was financed by the International Mathematical Union, the Australian mathematical Society, and the Australian National University.


 * The conference was also held in conjunction with the Australian National University Group Theory Program 1989, whose other activities included miniconferences on group representations, on computations in groups, on solvable groups and on Burnside questions. The Program, which attracted over 30 overseas visitors, enhanced the value of the conference by enabling overseas mathematicians to extend their stay in Australia.


 * The conference also received support from various institutes within Australia including Melbourne, La Trobe, Sydney and New South Wales.

Contents
Given below are contents of the documentation.

Survey articles

 * A Lie approach to finite groups by J. L. Alperin
 * On finite bases for laws of triangular matrices by A.N. Krasil'nikov and A.l.Shmel'kin
 * Group representations, geometry and topology by G. I. Lehrer
 * Some interactions between group theory and the general theory of algebras by Ralph McKenzie
 * Groups of prime-power order by M. F. Newman
 * Finite primitive permutation groups: a survey by Cheryl E. Praeger
 * Residually finite groups by Dan Segal
 * Modular representations of finite groups of Lie type in a non-defining characteristic by Bhama Shrinivasan

Research papers

 * On the efficiency of some direct powers of groups by C. M. Campbell, E. F. Robertson and P. D. Williams
 * Rewriting systems and homology of groups by J. R. J. Groves
 * Transversals and conjufacy in the group of recursive permutations by Graham Higman
 * On intersections of finitely generated subgroups of free groups by Walter D. Neumann
 * A characteristic property of each finite projective special linear group by Shi Wujie and Bi Jianxing
 * The centers of free central extensions of some groups by V. E. Shpilrain
 * Groups of genus zero and certain rational functions by John G. Thompson
 * Dependence of Lie relators for Burnside varieties by G. E. Wall
 * Corrigenda to the paper On the rank of the intersection of subgroups of a Fuchsian group by R. G. Burns

Documentation
The contents of the lectures in the conference have been documented in Groups-Canberra 1989, Lecture Notes in Mathematics Vol 1456