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The integral cohomology rings of some p-groups

Published online by Cambridge University Press:  24 October 2008

I. J. Leary
I. J. Leary
Affiliation:
Trinity College, Cambridge
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Extract

We determine the integral cohomology rings of an infinite family of p-groups, for odd primes p, with cyclic derived subgroups. Our method involves embedding the groups in a compact Lie group of dimension one, and was suggested independently by P. H. Kropholler and J. Huebschmann. This construction has also been used by the author to calculate the mod-p cohomology of the same groups and by B. Moselle to obtain partial results concerning the mod-p cohomology of the extra special p-groups [7], [9].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 1 , July 1991 , pp. 25 - 32
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

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