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Biset Functors for Finite Groups / by Serge Bouc.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Bouc, Serge, 1955- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1990.
- Lecture Notes in Mathematics, 0075-8434 ; 1990
- Language:
- English
- Subjects (All):
- Group theory.
- Algebraic topology.
- K-theory.
- Group Theory and Generalizations.
- Algebraic Topology.
- K-Theory.
- Local Subjects:
- Group Theory and Generalizations.
- Algebraic Topology.
- K-Theory.
- Physical Description:
- 1 online resource (X, 306 pages 4 illustrations).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
- System Details:
- text file PDF
- Summary:
- 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 pages 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.
- Contents:
- Examples
- General properties
- -Sets and (, )-Bisets
- Biset Functors
- Simple Functors
- Biset functors on replete subcategories
- The Burnside Functor
- Endomorphism Algebras
- The Functor
- Tensor Product and Internal Hom
- p-biset functors
- Rational Representations of -Groups
- -Biset Functors
- Applications
- The Dade Group.
- Other Format:
- Printed edition:
- ISBN:
- 9783642112973
- Access Restriction:
- Restricted for use by site license.
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