Groups '93 Galway/St Andrews, Galway, 1993

著者

• Campbell, Colin Matthew
• London Mathematical Society
• International Conference 'Groups 1993 Galways/St Andrews

書誌事項

Groups '93 Galway/St Andrews, Galway, 1993

edited by C.M. Campbell ... [et al.]

（London Mathematical Society lecture note series, 211-212）

Cambridge University Press, 1995

• v. 1
• v. 2

注記

Proceedings of an international conference held at University College, Galway, Ireland, August 1-14, 1993

内容説明・目次

巻冊次

v. 1 ISBN 9780521477499

内容説明

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. Broue (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. Neubuser and M. Schoenert (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 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.

目次

• 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. Broue
• 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. Neubuser 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.

巻冊次

v. 2 ISBN 9780521477505

内容説明

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. Broue (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. Neubuser and M. Schoenert (Rheinisch-Westfalische Technische Hochschole, 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 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.

目次

• 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.

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詳細情報

• NII書誌ID(NCID): BA24529772
• ISBN:
  • 0521477492
  • 0521477506
• LCCN: 94046434
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge [England] ; New York
• ページ数/冊数: 2 v.
• 大きさ: 23 cm
• 分類:
  • NDC8 : 411.6
  • LCC : QA174
  • DC20 : 512/.2
• 件名:
  • LCSH : Group theory -- Congresses
• 親書誌ID:
  • BA0005393X