rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Biset Functors for Finite Groups
  name:
    name part: Bouc, Serge.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 306 p. 4 illus. online resource.
  abstract: 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.
  table of 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.
  note: by Serge Bouc.
  subject:
    topic: Mathematics
  subject:
    topic: Group theory
  subject:
    topic: K-theory
  subject:
    topic: Algebraic topology
  subject:
    topic: Mathematics
  subject:
    topic: Group Theory and Generalizations
  subject:
    topic: Algebraic Topology
  subject:
    topic: K-Theory
  classification: QA174-183
  classification: 512.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1990
  identifier: 9783642112973
  identifier: http://dx.doi.org/10.1007/978-3-642-11297-3
  record info:
    record creation date: 100316
    record change date: 20151204154643.0
    record identifier: 978-3-642-11297-3