Non-Fiction Books:

Biset Functors for Finite Groups

Format

Paperback

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Biset Functors for Finite Groups by Serge Bouc
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Description

This volume exposes the theory of biset functors for finite groups, which yields a unified framework for operations of induction, restriction, inflation, deflation and transport by isomorphism. The first part recalls the basics on biset categories and biset functors. The second part is concerned with the Burnside functor and the functor of complex characters, together with semisimplicity issues and an overview of Green biset functors. The last part is devoted to biset functors defined over p-groups for a fixed prime number p. This includes the structure of the functor of rational representations and rational p-biset functors. The last two chapters expose three applications of biset functors to long-standing open problems, in particular the structure of the Dade group of an arbitrary finite p-group.This book is intended both to students and researchers, as it gives a didactic exposition of the basics and a rewriting of advanced results in the area, with some new ideas and proofs.
Release date Australia
March 11th, 2010
Author
Country of Publication
Germany
Edition
2010 ed.
Illustrations
4 Illustrations, black and white; X, 306 p. 4 illus.
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Pages
306
Dimensions
156x234x16
ISBN-13
9783642112966
Product ID
3965291

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