Groups '93 Galway/St Andrews

by C. M. Campbell , E. F. Robertson , T. C. Hurley , S. J. Tobin , J. J. Ward

• ISBN13: 9780521477505
• ISBN10: 0521477506
• Format: Paperback
• Copyright: 1995-03-31
• Publisher: Cambridge University Press

Summary

This two-volume book contains selected papers from the international conference ‘Groups 1993 Galway/St Andrews’ which was held at University College, Galway in August 1993. The wealth and diversity of group theory is represented in these two volumes. Five main lecture courses were given at the conference. These were ‘Geometry, Steinberg representations and complexity’ by J. L. Alperin (Chicago), ‘Rickard equivalences and block theory’ by M. Broué (ENS, Paris), ‘Cohomological finiteness conditions’, by P. H. Kropholler (Queen Mary and Westfield College, London), ‘Counting finite index subgroups’, by A. Lubotzky (Hebrew University, Jerusalem), ‘Lie methods in group theory’ by E. I. Zel‘manov (University of Wisconsin at Madison). Articles based on their lectures, in one case co-authored, form a substantial part of the Proceedings. Another main feature of the conference was a GAP workshop jointly run by J. Neubüser and M. Schönert (Rheinisch-Westfalische Technische Hochschole, Aachen). Two articles by Professor Neubüser, one co-authored, appear in the Proceedings. The other articles in the two volumes comprise both refereed survey and research articles contributed by other conference participants. As with the Proceedings of the earlier ‘Groups-St Andrews’ conferences it is hoped that the articles in these Proceedings will, with their many references, prove valuable both to experienced researchers and also to new postgraduates interested in group theory.

Table of Contents

1. An army of cohomology against residual finiteness

2. On some questions concerning subnormally monomial groups

3. A conjecture concerning the evaluation of products of class-sums of the symmetric group

4. Automorphisms of Burnside rings

5. On finite generation of unit groups for group rings

6. Counting finite index subgroups

7. The quantum double of a finite group and its role in conformal field theory

8. Closure properties of supersoluble Fitting classes

9. Groups acting on locally finite graphs - a survey of the infinitely ended case

10. An invitation to computational group theory

11. On subgroups, transversals and commutators

12. Intervals in subgroup lattices of finite groups

13. Amalgams of minimal local subgroups and sporadic simple groups

14. Vanishing orbit sums in group algebras of p-groups

15. From stable equivalences to Rickard equivalences for blocks with cyclic defect

16. Factorizations in which the factors have relatively prime orders

17. Some problems and results in the theory of pro-p groups

18. On equations in finite groups and invariants of subgroups

19. Group presentations where the relators are proper powers

20. A condensing theorem

21. Lie methods in group theory

22. Some new results on arithmetical problems in the theory of finite groups

23. Groups that admit partial power automorphisms

24. Problems.