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Biset Functors for Finite Groups

Name: Biset Functors for Finite Groups
Brand: Springer, Berlin
SKU: 01655337
Price: 57.79 EUR
Availability: InStock
Author: Serge Bouc
ISBN: 9783642112966

Serge Bouc

Lingua

Inglese

Libro In brossura

Codice Libristo: 01655337

Casa editrice Springer, Berlin, novembre 2009

This volume exposes the theory of biset functors for finite groups, which yields a unified framework... Descrizione completa

Codice Libristo: 01655337

141 b

57.79 €

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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.