The Resource Cohomology of Finite Groups, by Alejandro Adem, R. James Milgram, (electronic resource)

Cohomology of Finite Groups, by Alejandro Adem, R. James Milgram, (electronic resource)

Label
Cohomology of Finite Groups
Title
Cohomology of Finite Groups
Statement of responsibility
by Alejandro Adem, R. James Milgram
Creator
Contributor
Subject
Genre
Language
eng
Summary
The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, describing the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of various important classes of groups, and several of the sporadic simple groups, enables readers to acquire an in-depth understanding of group cohomology and its extensive applications. The 2nd edition contains many more mod 2 cohomology calculations for the sporadic simple groups, obtained by the authors and with their collaborators over the past decade.-Chapter III on group cohomology and invariant theory has been revised and expanded. New references arising from recent developments in the field have been added, and the index substantially enlarged
Member of
Cataloging source
AU@
http://library.link/vocab/creatorName
Adem, Alejandro
Dewey number
514.2
Index
no index present
LC call number
QA612-612.8
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Milgram, R. James
Series statement
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
Series volume
309
http://library.link/vocab/subjectName
  • Mathematics
  • Group theory
  • K-theory
  • Algebraic topology
  • Algebraic topology
  • Group theory
  • K-theory
  • Mathematics
Label
Cohomology of Finite Groups, by Alejandro Adem, R. James Milgram, (electronic resource)
Link
http://dx.doi.org/10.1007/978-3-662-06280-7
Instantiates
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Group Extensions, Simple Algebras -- Classifying spaces and Group Cohomology -- Modular Invariant Theory -- Spectral Sequences and Detection Theorems -- G-Complexes and Equivariant Cohomology -- The Cohomology of Symmetric Groups -- Finite Groups of Lie Type -- Cohomology of Sporadic Simple Groups -- The Plus Construction and Applications -- The Schur Subgroup of the Brauer Group -- References -- Index
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (viii, 326 pages).
File format
unknown
Form of item
online
Isbn
9783662062807
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-662-06280-7
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851394048
  • (OCoLC)ocn851394048
Label
Cohomology of Finite Groups, by Alejandro Adem, R. James Milgram, (electronic resource)
Link
http://dx.doi.org/10.1007/978-3-662-06280-7
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Group Extensions, Simple Algebras -- Classifying spaces and Group Cohomology -- Modular Invariant Theory -- Spectral Sequences and Detection Theorems -- G-Complexes and Equivariant Cohomology -- The Cohomology of Symmetric Groups -- Finite Groups of Lie Type -- Cohomology of Sporadic Simple Groups -- The Plus Construction and Applications -- The Schur Subgroup of the Brauer Group -- References -- Index
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (viii, 326 pages).
File format
unknown
Form of item
online
Isbn
9783662062807
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-662-06280-7
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851394048
  • (OCoLC)ocn851394048

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