Groups '93 Galway/St Andrews: Volume 2 Volume 2

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.

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.

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. 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.