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

Finite Groups 200, Chat-yin Ho, C. Y. Ho, P. Sin, Pham Huu Tiep, A. Turull9783110174472, 3-11-017447-2

The 28 articles do not record the talks as given at the conference, but were prepared specifically for these Proceedings, and have undergone a strict refereeing process. Most of them present original research results with proofs, though a few are survey articles by group theory researchers. The conference was one of several events to celebrate the 70th anniversary of John G. Thompson, so many of the papers refer to his work. Among the topics are the classifying space and cohomology of Thompson’s sporadic simple group, the Schur indices of cuspidal unipotent characters, analyzing ovals in finite projective planes using the representation theory of the symmetric group, and regular orbits of induced modules of finite groups. No index is provided.

---

Table of contents :
Preface……Page 8
List of talks……Page 10
Table of contents……Page 14
On a question of Farjoun……Page 18
Extensions for finite groups of Lie type: twisted groups……Page 46
On the classifying space and cohomology of Thompson’s sporadic simple group……Page 64
New versions of Schur–Weyl duality……Page 76
Just infinite periodic Lie algebras……Page 90
On the Schur indices of cuspidal unipotent characters……Page 104
An extension of Thompson’s Replacement Theorem by algebraic group methods……Page 122
Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fields……Page 128
Classification of 2F-modules, II……Page 134
On the real Schur indices associated with infinite Coxeter groups……Page 202
Some observations on products of characters of finite classical groups……Page 212
The number of finite p-groups with bounded number of generators……Page 226
Enumerating highly non-soluble groups……Page 236
3-Signalizers in almost simple groups……Page 246
Classifying character degree graphs with 5 vertices……Page 264
Heights of characters and defect groups……Page 284
Problems on characters and Sylow subgroups……Page 292
Ovals in finite projective planes via the representation theory of the symmetric group……Page 300
Rank invariance and automorphisms of generalized Kac–Moody superalgebras……Page 308
Bounding numbers and heights of characters in p-constrained groups……Page 324
Classification of buildings……Page 336
Characters of algebra groups and unitriangular groups……Page 352
The signalizer method……Page 368
Classical groups in dimension 5 which are Hurwitz……Page 380
A classification of Weyl groups as finite {3, 4}-transposition groups……Page 390
Powerful subgroups of 2-groups……Page 398
Regular orbits of induced modules of finite groups……Page 406
Radical subgroups and p-local ranks……Page 418
List of participants……Page 428