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Characteristic classes and the cohom...

Thomas, C. B.

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Characteristic classes and the cohomology of finite groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Characteristic classes and the cohomology of finite groups/ C.B. Thomas.
remainder title:	Characteristic Classes & the Cohomology of Finite Groups
Author:	Thomas, C. B.
Published:	Cambridge :Cambridge University Press, : 1986.,
Description:	xii, 129 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Finite groups. -
Online resource:	https://doi.org/10.1017/CBO9780511897344
ISBN:	9780511897344

Characteristic classes and the cohomology of finite groups
Thomas, C. B.

Characteristic classes and the cohomology of finite groups[electronic resource] /Characteristic Classes & the Cohomology of Finite GroupsC.B. Thomas. - Cambridge :Cambridge University Press,1986. - xii, 129 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;9. - Cambridge studies in advanced mathematics ;9..

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

The purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteristic classes. In this way it is possible to extend the known calculations and prove some general results for the integral cohomology ring of a group G of prime power order. Among the groups considered are those of p-rank less than 3, extra-special p-groups, symmetric groups and linear groups over finite fields. An important tool is the Riemann - Roch formula which provides a relation between the characteristic classes of an induced representation, the classes of the underlying representation and those of the permutation representation of the infinite symmetric group. Dr Thomas also discusses the implications of his work for some arithmetic groups which will interest algebraic number theorists. Dr Thomas assumes the reader has taken basic courses in algebraic topology, group theory and homological algebra, but has included an appendix in which he gives a purely topological proof of the Riemann - Roch formula.

ISBN: 9780511897344Subjects--Topical Terms:

532025
Finite groups.

LC Class. No.: QA174.2 / .T48 1986

Dewey Class. No.: 512.2

Characteristic classes and the cohomology of finite groups
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020 $a 9780511897344 $q (electronic bk.)
020 $a 9780521256612 $q (hardback)
020 $a 9780521090650 $q (paperback)
035 $a CR9780511897344
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA174.2 $b .T48 1986
082 0 4 $a 512.2 $2 19
090 $a QA174.2 $b .T454 1986
100 1 $a Thomas, C. B. $q (Charles Benedict) $3 589038
245 1 0 $a Characteristic classes and the cohomology of finite groups $h [electronic resource] / $c C.B. Thomas.
246 3 $a Characteristic Classes & the Cohomology of Finite Groups
260 $a Cambridge : $b Cambridge University Press, $c 1986.
300 $a xii, 129 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 9
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a The purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteristic classes. In this way it is possible to extend the known calculations and prove some general results for the integral cohomology ring of a group G of prime power order. Among the groups considered are those of p-rank less than 3, extra-special p-groups, symmetric groups and linear groups over finite fields. An important tool is the Riemann - Roch formula which provides a relation between the characteristic classes of an induced representation, the classes of the underlying representation and those of the permutation representation of the infinite symmetric group. Dr Thomas also discusses the implications of his work for some arithmetic groups which will interest algebraic number theorists. Dr Thomas assumes the reader has taken basic courses in algebraic topology, group theory and homological algebra, but has included an appendix in which he gives a purely topological proof of the Riemann - Roch formula.
650 0 $a Finite groups. $3 532025
650 0 $a Homology theory. $3 555733
650 0 $a Characteristic classes. $3 699767
830 0 $a Cambridge studies in advanced mathematics ; $v 9. $3 3470579
856 4 0 $u https://doi.org/10.1017/CBO9780511897344