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Characteristic classes and the cohom...

Thomas, C. B.

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Characteristic classes and the cohomology of finite groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Characteristic classes and the cohomology of finite groups/ C.B. Thomas.
其他題名:	Characteristic Classes & the Cohomology of Finite Groups
作者:	Thomas, C. B.
出版者:	Cambridge :Cambridge University Press, : 1986.,
面頁冊數:	xii, 129 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Finite groups. -
電子資源:	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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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.
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