Finite Groups 2003 (eBook)

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