Finite Groups 2003 : proceedings of the Gainesville conference on finite groups, March 6-12, 2003 / editors, C.Y. Ho [and others].

Includes bibliographical references.

Print version record.

Bounding numbers and heights of charactersin p-constrained groupsClassification of buildings; Characters of algebra groups and unitriangulargroups; The signalizer method; Classical groups in dimension 5 which are Hurwitz; A classification ofWeyl 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; List of participants.

On the real Schur indices associated with infiniteCoxeter groupsSome observations on products of characters offinite classical groups; The number of finite p-groups with boundednumber 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 therepresentation theory of the symmetric group; Rank invariance and automorphisms ofgeneralized Kac-Moody superalgebras.

Preface; List of talks; Table of contents; On a question of FarjounMichael Aschbacher*; Extensions for finite groups of Lie type:twisted groups; On the classifying space and cohomology ofThompson's sporadic simple group; New versions of Schur-Weyl duality; Just infinite periodic Lie algebras; On the Schur indices of cuspidal unipotentcharacters; An extension of Thompson's ReplacementTheorem by algebraic group methods; Simple connectedness of the geometry ofnondegenerate subspaces of a symplectic spaceover arbitrary fields; Classification of 2F-modules, II.

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 Joh.

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