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Cohomology of Finite Groups

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Cohomology of Finite Groups Cover

 

Synopses & Reviews

Publisher Comments:

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.

Table of Contents

Group extensions, simple algebra, and cohomology — Classifying spaces and group cohomology — Invariants and cohomology of groups — Spectral sequences and detection theorems — G-complexes and equivariant cohomology — The cohomology of the symmetric groups — Finite groups of lie type — Cohomology of sporadic simple groups — The plus construction and applications — The Schur subgroup of the Brauer group.

Product Details

ISBN:
3330000232053
Publisher:
Springer
Subject:
Finite groups
Author:
Milgram, R. James
Author:
Adem, Alejandro
Subject:
Homology theory
Subject:
Group Theory
Subject:
Geometry - General
Subject:
Algebra - General
Subject:
Mathematics-Group Theory
Subject:
Topology
Subject:
Algebraic topology
Subject:
Classifying spaces.
Subject:
cohomology of groups
Subject:
Group actions
Subject:
Homotopy theory
Subject:
Group Theory and Generalizations
Subject:
K-theory
Subject:
main_subject
Subject:
all_subjects
Publication Date:
2004
Binding:
ELECTRONIC
Language:
English
Pages:
324

Related Subjects

Science and Mathematics » Biology » General
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Group Theory
Science and Mathematics » Mathematics » Topology

Cohomology of Finite Groups
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Product details 324 pages Springer - English 3330000232053 Reviews:
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