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The Resource Biset Functors for Finite Groups, by Serge Bouc, (electronic resource)

Biset Functors for Finite Groups, by Serge Bouc, (electronic resource)

Creator
Author
Contributor
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 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
Language
eng
Work
Publication
Extent
X, 302p. 4 illus.
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
Isbn
9783642112973
Instance
Label
Biset Functors for Finite Groups
Title
Biset Functors for Finite Groups
Statement of responsibility
by Serge Bouc
Creator
Contributor
Author
Provider
Subject
Language
eng
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 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
Member of
http://library.link/vocab/creatorName
Bouc, Serge
Image bit depth
0
LC call number
QA174-183
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1990
http://library.link/vocab/subjectName
  • Mathematics
  • Group theory
  • K-theory
  • Mathematics
  • Group Theory and Generalizations
  • K-Theory
Label
Biset Functors for Finite Groups, by Serge Bouc, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
X, 302p. 4 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783642112973
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-11297-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-11297-3
Label
Biset Functors for Finite Groups, by Serge Bouc, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
X, 302p. 4 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783642112973
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-11297-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-11297-3

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