Finite Groups 2003 (eBook)

Proceedings of the Gainesville Conference on Finite Groups, March 6 - 12, 2003

Chat Yin Ho, Peter Sin, Pham Huu Tiep, Alexandre Turull (Herausgeber)

eBook Download: PDF

2004
432 Seiten
De Gruyter (Verlag)
978-3-11-019812-6 (ISBN)

Infos

This is a volume of research articles related to finite groups. Topics covered include the classification of finite simple groups, the theory of p-groups, cohomology of groups, representation theory and the theory of buildings and geometries.

As well as more than twenty original papers on the latest developments, which will be of great interest to specialists, the volume contains several expository articles, from which students and non-experts can learn about the present state of knowledge and promising directions for further research.

The Finite Groups 2003 conference was held in honor of John Thompson. The profound influence of his fundamental contributions is clearly visible in this collection of papers dedicated to him.

Inhalt

Frontmatter 1
Table of contents 13
On a question of Farjoun 17
Extensions for finite groups of Lie type: twisted groups 45
On the classifying space and cohomology of Thompson’s sporadic simple group 63
New versions of Schur–Weyl duality 75
Just infinite periodic Lie algebras 89
On the Schur indices of cuspidal unipotent characters 103
An extension of Thompson’s Replacement Theorem by algebraic group methods 121
Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fields 127
Classification of 2F-modules, II 133
On the real Schur indices associated with infinite Coxeter groups 201
Some observations on products of characters of finite classical groups 211
The number of finite p-groups with bounded number of generators 225
Enumerating highly non-soluble groups 235
3-Signalizers in almost simple groups 245
Classifying character degree graphs with 5 vertices 263
Heights of characters and defect groups 283
Problems on characters and Sylow subgroups 291
Ovals in finite projective planes via the representation theory of the symmetric group 299
Rank invariance and automorphisms of generalized Kac-Moody superalgebras 307
Bounding numbers and heights of characters in p-constrained groups 323
Classification of buildings 335
Characters of algebra groups and unitriangular groups 351
The signalizer method 367
Classical groups in dimension 5 which are Hurwitz 379
A classification of Weyl groups as finite {3, 4}-transposition groups 389
Powerful subgroups of 2-groups 397
Regular orbits of induced modules of finite groups 405
Radical subgroups and p-local ranks 417
Backmatter 423

Produkt-Details

• Erscheint lt. Verlag: 22.8.2008
• Reihe/Serie: De Gruyter Proceedings in Mathematics
• Reihe/Serie: De Gruyter Proceedings in Mathematics
• Reihe/Serie: ISSN
• Zusatzinfo: 1 Frontispiece
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Technik
• Schlagworte: Algebraische Gruppen • endliche Gruppen • Gruppentheorie
• ISBN-10: 3-11-019812-6 / 3110198126
• ISBN-13: 978-3-11-019812-6 / 9783110198126