Biset Functors for Finite Groups

• Main Author: Bouc, Serge. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1990
• Subjects: Mathematics.; Group theory.; K-theory.; Group Theory and Generalizations.; K-Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-11297-3

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 wit...

Table of Contents:

• 1 Examples
• Part I General properties
• 2 G-sets and (H,G)-bisets
• 3 Biset functors
• 4 Simple functors
• Part II Biset functors on replete subcategories
• 5 The Burnside functor
• 6 Endomorphism algebras
• 7 The functor CRC
• 8 Tensor product and internal hom
• Part III p-biset functors
• 9 Rational representations of p-groups
• 10 p-biset functors
• 11 Applications
• 12 The Dade group.