Groups '93 Galway/St Andrews

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

• ISBN13: 9780521477499
• ISBN10: 0521477492
• Format: Paperback
• Copyright: 1995-04-28
• 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. Brouè (ENS, Paris), 'Cohomological finiteness conditions' by P. H. Kropholler (QMW, 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 (RWTH, 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. Geometry, Steinberg representations and complexity J. L. Alperin and G. Mason

2. The structure of metabelian finite groups Z. Arad, E. Fisman and M. Muzychuk

3. Table algebras of extended Gagola-type and applications to finite group theory Z. Arad, E. Fisman and C. M. Scoppola

4. On the saturation of formations of finite groups A. Ballester-Bolinches and L. M. Ezquerro

5. Locally constructed formations of finite groups A. Ballester-Bolinches and C. Juan-Martinez

6. Reflections on virtually one-relator groups K. Bencsath and B. Fine

7. Rickard equivalences and block theory M. Broué

8. Computing the conjugacy classes of elements of a finite group G. Butler

9. Quotient categories of modules over group algebras J. F. Carlson

10. Weak chain conditions for non-almost normal subgroups G. Cutolo and L. A. Kurdachenko

11. Computation of the character table of affine groups using Fischer matrices M. R. Darafsheh and A. Iranmanesh

12. The lattice of compact representations of an infinite group D. Dikranjan

13. Automorphisms of nilpotent and related groups M. R. Dixon

14. Generation of orthogonal groups over finite fields A. G. Earnest

15. The structure of certain Coxeter groups V. Felsch, D. L. Johnson, J. Neubü

ser and S. V. Tsaranov

16. n-free groups and questions about universally free groups B. Fine, A. M. Gaglione, G. Rosenberger and D. Spellman

17. Classification of all generating pairs of two generator Fuchsian groups B. Fine and G. Rosenberger

18. Parametric words and models of the elementary theory of non-abelian free groups A. M. Gaglione and D. Spellman

19. The groups G(n,l) as fundamental groups of Seifert fibered homology L. Grasselli

20. Spheres C. K. Gupta and V. Shpilrain

21. Lifting automorphisms : a survey P. Z. Hermann

22. (MI)-groups acting uniserially on a normal subgroup E. Jespers, M. M. Parmenter and P. F. Smith

23. Revisiting a theorem of Higman P. H. Kropholler

24. Cohomological finiteness conditions.