1.

Record Nr.

UNINA9910817475203321

Titolo

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

Pubbl/distr/stampa

Berlin ; ; New York, : Walter de Gruyter, c2004

ISBN

1-282-19437-2

9786612194375

3-11-019812-6

Edizione

[1st ed.]

Descrizione fisica

1 online resource (436 p.)

Collana

De Gruyter Proceedings in Mathematics

Classificazione

SD 2003

Altri autori (Persone)

HoChat-Yin <1946->

Disciplina

512/.23

Soggetti

Finite groups

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Front matter -- 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

Sommario/riassunto

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