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Characteristic Classes and the Cohomology of Finite Groups (Paperback)
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Characteristic Classes and the Cohomology of Finite Groups (Paperback)
Series: Cambridge Studies in Advanced Mathematics
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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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Cambridge Studies in Advanced Mathematics |
Release date: |
November 2008 |
First published: |
November 2008 |
Authors: |
C.B. Thomas
|
Dimensions: |
229 x 152 x 9mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
144 |
ISBN-13: |
978-0-521-09065-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Analytic topology
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LSN: |
0-521-09065-2 |
Barcode: |
9780521090650 |
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