: Chat Yin Ho, Peter Sin, Pham Huu Tiep, Alexandre Turull
: Finite Groups 2003 Proceedings of the Gainesville Conference on Finite Groups, March 6 - 12, 2003
: Walter de Gruyter GmbH& Co.KG
: 9783110198126
: De Gruyter Proceedings in Mathematics
: 1
: CHF 301.60
:
: Allgemeines, Lexika
: English
: 432
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF
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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.
Frontmatter1
Table of contents13
On a question of Farjoun17
Extensions for finite groups of Lie type: twisted groups45
On the classifying space and cohomology of Thompson’s sporadic simple group63
New versions of Schur–Weyl duality75
Just infinite periodic Lie algebras89
On the Schur indices of cuspidal unipotent characters103
An extension of Thompson’s Replacement Theorem by algebraic group methods121
Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fields127
Classification of 2F-modules, II133
On the real Schur indices associated with infinite Coxeter groups201
Some observations on products of characters of finite classical groups211
The number of finite p-groups with bounded number of generators225
Enumerating highly non-soluble groups235
3-Signalizers in almost simple groups245
Classifying character degree graphs with 5 vertices263
Heights of characters and defect groups283
Problems on characters and Sylow subgroups291
Ovals in finite projective planes via the representation theory of the symmetric group299
Rank invariance and automorphisms of generalized Kac-Moody superalgebras307
Bounding numbers and heights of characters in p-constrained groups323
Classification of buildings335
Characters of algebra groups and unitriangular groups351
The signalizer method367
Classical groups in dimension 5 which are Hurwitz379
A classification of Weyl groups as finite {3, 4}-transposition groups389
Powerful subgroups of 2-groups397
Regular orbits of induced modules of finite groups405
Radical subgroups and p-local ranks417
Backmatter423