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<図書>
Characteristic classes and the cohomology of finite groups

責任表示 C.B. Thomas
シリーズ Cambridge studies in advanced mathematics ; 9
データ種別 図書
出版者 Cambridge [England] ; New York : Cambridge University Press
出版年 1986
本文言語 英語
大きさ xii, 129 p. ; 24 cm
概要 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.
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.
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所蔵情報


理系図3F 数理独自 068222195006915 THOM/40/2 1986

書誌詳細

一般注記 Bibliography: p. [123]-125
Includes index
著者標目 *Thomas, Charles Benedict
件 名 LCSH:Finite groups
LCSH:Homology theory
LCSH:Characteristic classes
NDLSH:有限群
NDLSH:ホモロジー
分 類 LCC:QA171
DC19:512/.2
NDC8:411.63
書誌ID 1000029134
ISBN 0521256615
NCID BA00329214
巻冊次 : hardback ; ISBN:0521256615 ; XISBN:9780521256612
: paperback ; ISBN:9780521090650
登録日 2009.09.10
更新日 2017.03.14

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