Characteristic Classes and the Cohomology of Finite Groups by C. B. Thomas (Paperback, 2008)

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Group cohomology; 2. Products and change of group; 3. Spectral sequences; 5. Representations and vector bundles; 6. Bundles over the classifying space for a discrete group; 7. Short Title CHARACTERISTIC CLASSES & THE C.

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Product Information

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.

Product Identifiers

PublisherCambridge University Press
ISBN-139780521090650
eBay Product ID (ePID)96751029

Product Key Features

Publication NameCharacteristic Classes and the Cohomology of Finite Groups
SubjectMathematics
Publication Year2008
TypeTextbook
FormatPaperback
LanguageEnglish
AuthorC. B. Thomas
Number of Pages144 Pages

Dimensions

Item Height229 mm
Item Weight220 g
Item Width152 mm

Additional Product Features

Country/Region of ManufactureUnited Kingdom
Title_AuthorC. B. Thomas
Series TitleCambridge Studies in Advanced Mathematics
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