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

Finite Groups 2003

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

By: Chat Yin Ho (Editor), Peter Sin (Editor), Pham Huu Tiep (Editor), Alexandre Turull (Editor)


Published: 24th November 2004
For Ages: 22+ years old
Ships: 7 to 10 business days
7 to 10 business days
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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.

On a question of Farjounp. 1
Extensions for finite groups of Lie type : twisted groupsp. 29
On the classifying space and cohomology of Thompson's sporadic simple groupp. 47
New versions of Schur-Weyl dualityp. 59
Just infinite periodic Lie algebrasp. 73
On the Schur indices of cuspidal unipotent charactersp. 87
An extension of Thompson's replacement theorem by algebraic group methodsp. 105
Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fieldsp. 111
Classification of 2F-modules, IIp. 117
On the real Schur indices associated with infinite Coxeter groupsp. 185
Some observations on products of characters of finite classical groupsp. 195
The number of finite p-groups with bounded number of generatorsp. 209
Enumerating highly non-soluble groupsp. 219
3-signalizers in almost simple groupsp. 229
Classifying character degree graphs with 5 verticesp. 247
Heights of characters and defect groupsp. 267
Problems on characters and Sylow subgroupsp. 275
Ovals in finite projective planes via the representation theory of the symmetric groupp. 283
Rank invariance and automorphisms of generalized Kac-Moody superalgebrasp. 291
Bounding numbers and heights of characters in p-constrained groupsp. 307
Classification of buildingsp. 319
Characters of algebra groups and unitriangular groupsp. 335
The signalizer methodp. 351
Classical groups in dimension 5 which are Hurwitzp. 363
A classification of Weyl-groups as finite {3, 4}-transposition groupsp. 373
Powerful subgroups of 2-groupsp. 381
Regular orbits of induced modules of finite groupsp. 389
Radical subgroups and p-local ranksp. 401
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110174472
ISBN-10: 3110174472
Series: De Gruyter Proceedings in Mathematics
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 432
Published: 24th November 2004
Publisher: De Gruyter
Country of Publication: DE
Dimensions (cm): 24.0 x 17.0  x 2.82
Weight (kg): 0.83