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

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Finite Groups 2003

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

Edited by: Chat Yin Ho , Peter Sin , Pham Huu Tiep and Alexandre Turull

Language: English

Published/Copyright: 2004

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This book is in the series

De Gruyter Proceedings in Mathematics

About this book

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.

Topics

Mathematics General Mathematics

Frontmatter Requires Authentication Unlicensed Licensed	i
Table of contents Requires Authentication Unlicensed Licensed	xiii
On a question of Farjoun Michael Aschbacher Requires Authentication Unlicensed Licensed	1
Extensions for finite groups of Lie type: twisted groups Christopher P. Bendel, Daniel K. Nakano and Cornelius Pillen Requires Authentication Unlicensed Licensed	29
On the classifying space and cohomology of Thompson’s sporadic simple group David J. Benson Requires Authentication Unlicensed Licensed	47
New versions of Schur–Weyl duality Stephen Doty Requires Authentication Unlicensed Licensed	59
Just infinite periodic Lie algebras Norberto Gavioli, Valerio Monti and Carlo M. Scoppola Requires Authentication Unlicensed Licensed	73
On the Schur indices of cuspidal unipotent characters Meinolf Geck Requires Authentication Unlicensed Licensed	87
An extension of Thompson’s Replacement Theorem by algebraic group methods George Glauberman Requires Authentication Unlicensed Licensed	105
Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fields Ralf Gramlich Requires Authentication Unlicensed Licensed	111
Classification of 2F-modules, II Robert M. Guralnick and Gunter Malle Requires Authentication Unlicensed Licensed	117
On the real Schur indices associated with infinite Coxeter groups Allen Herman and Barry Monson Requires Authentication Unlicensed Licensed	185
Some observations on products of characters of finite classical groups Gerhard Hiss and Frank Lübeck Requires Authentication Unlicensed Licensed	195
The number of finite p-groups with bounded number of generators Andrei Jaikin-Zapirain Requires Authentication Unlicensed Licensed	209
Enumerating highly non-soluble groups Benjamin Klopsch Requires Authentication Unlicensed Licensed	219
3-Signalizers in almost simple groups Inna Korchagina Requires Authentication Unlicensed Licensed	229
Classifying character degree graphs with 5 vertices Mark L. Lewis Requires Authentication Unlicensed Licensed	247
Heights of characters and defect groups Alexander Moretó Requires Authentication Unlicensed Licensed	267
Problems on characters and Sylow subgroups Gabriel Navarro Requires Authentication Unlicensed Licensed	275
Ovals in finite projective planes via the representation theory of the symmetric group Alan R. Prince Requires Authentication Unlicensed Licensed	283
Rank invariance and automorphisms of generalized Kac-Moody superalgebras Urmie Ray Requires Authentication Unlicensed Licensed	291
Bounding numbers and heights of characters in p-constrained groups Geoffrey R. Robinson Requires Authentication Unlicensed Licensed	307
Classification of buildings Mark A. Ronan Requires Authentication Unlicensed Licensed	319
Characters of algebra groups and unitriangular groups Josu Sangroniz Requires Authentication Unlicensed Licensed	335
The signalizer method Ronald Solomon Requires Authentication Unlicensed Licensed	351
Classical groups in dimension 5 which are Hurwitz M. Chiara Tamburini and Alexandre E. Zalesski Requires Authentication Unlicensed Licensed	363
A classification of Weyl groups as finite {3, 4}-transposition groups Franz G. Timmesfeld Requires Authentication Unlicensed Licensed	373
Powerful subgroups of 2-groups Lawrence E. Wilson Requires Authentication Unlicensed Licensed	381
Regular orbits of induced modules of finite groups Thomas R. Wolf Requires Authentication Unlicensed Licensed	389
Radical subgroups and p-local ranks Jiping Zhang Requires Authentication Unlicensed Licensed	401
Backmatter Requires Authentication Unlicensed Licensed	407

Publishing information

Pages and Images/Illustrations in book

eBook published on:

August 22, 2008

eBook ISBN:

9783110198126

Hardcover published on:

November 24, 2004

Hardcover ISBN:

9783110174472

Pages and Images/Illustrations in book

Front matter:

15

Main content:

417

Other:

1 Frontispiece

https://doi.org/10.1515/9783110198126

eBook ISBN: 9783110198126

Hardcover ISBN: 9783110174472

Keywords for this book

Endliche Gruppen; Algebraische Gruppen; Gruppentheorie

Audience(s) for this book

Research Mathematicians, Graduate Students; Academic Libraries

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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Finite Groups 2003

Overview

About this book

Topics

Table of contents

Bibliographic data