Groups '93 Galway/St Andrews: Volume 1

ISBN-13: 9780521477499 / Angielski / Miękka / 1995 / 320 str.

S. J. Tobin; J. Ward; C. M. Campbell

Opis

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. These two volumes represent the wealth and diversity of group theory. 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. Broue (ENS, Paris), "Cohomological finiteness conditions" by P. H. Kropholler (QMW, London), "Counting finite index subgroups" by A. Lubotzky (Hebrew University, Jerusalem), and "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. NeubUser and M. Schonert (RWTH, Aachen). Two articles by Professor NeubUser, 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, the articles in these Proceedings will, with their many references, prove valuable both to experienced researchers and to postgraduates interested in group theory.

Spis treści

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. Neubüser 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.