INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783642112973
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
E-4812
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Biset functors for finite groups
General Material Designation
[Book]
First Statement of Responsibility
/ Serge Bouc
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Heidelberg ;New York
Name of Publisher, Distributor, etc.
: Springer
Date of Publication, Distribution, etc.
, 2010.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
ix, 299 p.
SERIES
Series Title
(Lecture notes in mathematics,0075-8434
Volume Designation
; 1990.)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Print
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 293-295) and index.
CONTENTS NOTE
Text of Note
AnnotationThis 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.
Text of Note
Examples -- pt. 1. General properties. G-sets and (H, G)-bisets ; Biset functors ; Simple functors -- pt. 2. Biset functors on replete subcategories. The Burnside functor ; Endomorphism algebras ; The functor CRC ; Tensor product and internal Hom -- pt. 3. P-biset functors. Rational representations of p-groups ; P-biset functors ; Applications ; The Dade group.
SERIES
Title
Lecture notes in mathematics (Springer-Verlag)
Volume Number
1990
TOPICAL NAME USED AS SUBJECT
Functor theory
Finite groups
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA169
Book number
.
B683
2010
PERSONAL NAME - PRIMARY RESPONSIBILITY
Bouc, Serge,1955-
ORIGINATING SOURCE
Country
ایران
old catalog
p
BL
1
a
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