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The integral cohomology rings of some p-groups

The integral cohomology rings of some p-groups
The integral cohomology rings of some p-groups
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
25-32
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e

Leary, Ian (1991) The integral cohomology rings of some p-groups. Mathematical Proceedings of the Cambridge Philosophical Society, 110 (1), 25-32. (doi:10.1017/S0305004100070080).

Record type: Article

Abstract

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

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Published date: 1991
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 199295
URI: http://eprints.soton.ac.uk/id/eprint/199295
DOI: doi:10.1017/S0305004100070080
PURE UUID: a9e79e79-7ec5-403e-9dbc-1976b93576f6
ORCID for Ian Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 14 Oct 2011 14:20
Last modified: 15 Mar 2024 03:36

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Author: Ian Leary ORCID iD

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