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3-groups are not determined by their integral cohomology rings

Leary, Ian J. (1995) 3-groups are not determined by their integral cohomology rings Journal of Pure and Applied Algebra, 103, (1), pp. 61-79. (doi:10.1016/0022-4049(95)00092-B).

Record type: Article

Abstract

There is one compact 1-dimensional Lie group with 27 components and nilpotence class three. We give a presentation for the integral cohomology ring of this group. We show that finite groups of order 81 can be distinguished by their first few integral cohomology groups, and we exhibit a pair of groups of order 243 that have isomorphic integral cohomology rings.

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Published date: 25 August 1995
Organisations: Pure Mathematics

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Local EPrints ID: 199323
URI: http://eprints.soton.ac.uk/id/eprint/199323
PURE UUID: 5b513ed3-890c-428c-95c1-83c44e0aa0d0
ORCID for Ian J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 18 Oct 2011 10:34
Last modified: 18 Jul 2017 11:16

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Author: Ian J. Leary ORCID iD

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