Articles liés à Blocks of finite groups

Blocks of finite groups - Couverture rigide

Puig, Lluis

 
9783540435143: Blocks of finite groups
Couverture rigide
ISBN 10 : 354043514X ISBN 13 : 9783540435143
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2002

Synopsis

About 60 years ago, R. Brauer introduced "block theory"; his purpose was to study the group algebra kG of a finite group G over a field k of nonzero characteristic p: any indecomposable two-sided ideal that also is a direct summand of kG determines a G-block.
But the main discovery of Brauer is perhaps the existence of families of infinitely many nonisomorphic groups having a "common block"; i.e., blocks having mutually isomorphic "source algebras".
In this book, based on a course given by the author at Wuhan University in 1999, all the concepts mentioned are introduced, and all the proofs are developed completely. Its main purpose is the proof of the existence and the uniqueness of the "hyperfocal subalgebra" in the source algebra. This result seems fundamental in block theory; for instance, the structure of the source algebra of a nilpotent block, an important fact in block theory, can be obtained as a corollary.

The exceptional layout of this bilingual edition featuring 2 columns per page (one English, one Chinese) sharing the displayed mathematical formulas is the joint achievement of the author and A. Arabia.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
2002
Langue
anglais
ISBN 10 
354043514X
ISBN 13 
9783540435143
Reliure
Relié
Nombre de pages
220
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