Biset Functors for Finite Groups

Serge Bouc

ISBN 10: 364211296X / ISBN 13: 9783642112966

Published by Berlin Springer Berlin Heidelberg Springer Mrz 2010, 2010

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 306 pp. Englisch.

Seller Inventory # 9783642112966

Bibliographic Details

• Title: Biset Functors for Finite Groups
• Publisher: Berlin Springer Berlin Heidelberg Springer Mrz 2010
• Publication Date: 2010
• Language: English
• ISBN 10: 364211296X
• ISBN 13: 9783642112966
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

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.