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The 3-local cohomology of the Mathieu group M24

Published online by Cambridge University Press:  18 May 2009

David John Green
David John Green
Affiliation:
Institut für Experimentelle Mathematik, Universität GHS Essen, Ellernstrasse 29, D-45326 Essen, Germany
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In this paper we calculate the localisation at the prime 3 of the integral cohomology ring of the Mathieu group M24, together with its mod-3 cohomology ring. The main results are

Theorem 1. The ring H*(M24, Z)(3)is the commutative graded Z(3)-algebra with generators

and relations v2 = 0 and βθ = 0. The Chern classes of the Todd representation in GL11F2

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 1 , January 1996 , pp. 69 - 75
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

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