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Representations and cohomology.. 2,....

Benson, D. J. (1955-)

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Representations and cohomology.. 2,. Cohomology of groups and modules

Record Type:	Electronic resources : Monograph/item
Title/Author:	Representations and cohomology./ D. J. Benson.
remainder title:	Representations & Cohomology
Author:	Benson, D. J.
Published:	Cambridge :Cambridge University Press, : 1991.,
Description:	xi, 279 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Representations of groups. -
Online resource:	https://doi.org/10.1017/CBO9780511623622
ISBN:	9780511623622

Representations and cohomology.. 2,. Cohomology of groups and modules
Benson, D. J.1955-

Representations and cohomology.2,Cohomology of groups and modules[electronic resource] /Representations & CohomologyD. J. Benson. - Cambridge :Cambridge University Press,1991. - xi, 279 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;31. - Cambridge studies in advanced mathematics ;31..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This is the second of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume concentrates on the cohomology of groups, always with representations in view, however. It begins with a background reference chapter, then proceeds to an overview of the algebraic topology and K-theory associated with cohomology of groups, especially the work of Quillen. Later chapters look at algebraic and topological proofs of the finite generation of the cohomology ring of a finite group, and an algebraic approach to the Steenrod operations in group cohomology. The book cumulates in a chapter dealing with the theory of varieties for modules. Much of the material presented here has never appeared before in book form. Consequently students and research workers studying group theory, and indeed algebra in general, will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory.

ISBN: 9780511623622Subjects--Topical Terms:

519598
Representations of groups.

LC Class. No.: QA174.2 / .B44 1991

Dewey Class. No.: 512.72

Representations and cohomology.. 2,. Cohomology of groups and modules
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100 1 $a Benson, D. J. $q (David J.), $d 1955- $3 3470652
245 1 0 $a Representations and cohomology. $n 2, $p Cohomology of groups and modules $h [electronic resource] / $c D. J. Benson.
246 3 $a Representations & Cohomology
260 $a Cambridge : $b Cambridge University Press, $c 1991.
300 $a xi, 279 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 31
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This is the second of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume concentrates on the cohomology of groups, always with representations in view, however. It begins with a background reference chapter, then proceeds to an overview of the algebraic topology and K-theory associated with cohomology of groups, especially the work of Quillen. Later chapters look at algebraic and topological proofs of the finite generation of the cohomology ring of a finite group, and an algebraic approach to the Steenrod operations in group cohomology. The book cumulates in a chapter dealing with the theory of varieties for modules. Much of the material presented here has never appeared before in book form. Consequently students and research workers studying group theory, and indeed algebra in general, will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory.
650 0 $a Representations of groups. $3 519598
650 0 $a Representations of algebras. $3 572480
650 0 $a Homology theory. $3 555733
830 0 $a Cambridge studies in advanced mathematics ; $v 31. $3 3470715
856 4 0 $u https://doi.org/10.1017/CBO9780511623622