Biset functors for finite groups

Serge Bouc

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.

「Nielsen BookData」より


  • 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.

「Nielsen BookData」より


書名 Biset functors for finite groups
著作者等 Bouc, Serge
シリーズ名 Lecture notes in mathematics
出版元 Springer
刊行年月 c2010
ページ数 ix, 299 p.
大きさ 24 cm
ISBN 9783642112966
NCID BB01578958
※クリックでCiNii Booksを表示
言語 英語
出版国 ドイツ