
Finite Groups 2003
Description
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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.
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Content
Table of contents
On a question of Farjoun
Extensions for finite groups of Lie type: twisted groups
On the classifying space and cohomology of Thompson's sporadic simple group
New versions of Schur-Weyl duality
Just infinite periodic Lie algebras
On the Schur indices of cuspidal unipotent characters
An extension of Thompson's Replacement Theorem by algebraic group methods
Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fields
Classification of 2F-modules, II
On the real Schur indices associated with infinite Coxeter groups
Some observations on products of characters of finite classical groups
The number of finite p-groups with bounded number of generators
Enumerating highly non-soluble groups
3-Signalizers in almost simple groups
Classifying character degree graphs with 5 vertices
Heights of characters and defect groups
Problems on characters and Sylow subgroups
Ovals in finite projective planes via the representation theory of the symmetric group
Rank invariance and automorphisms of generalized Kac-Moody superalgebras
Bounding numbers and heights of characters in p-constrained groups
Classification of buildings
Characters of algebra groups and unitriangular groups
The signalizer method
Classical groups in dimension 5 which are Hurwitz
A classification of Weyl groups as finite {3, 4}-transposition groups
Powerful subgroups of 2-groups
Regular orbits of induced modules of finite groups
Radical subgroups and p-local ranks
Backmatter
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