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), 61-79. (doi:10.1016/0022-4049(95)00092-B).
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Description/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.
| Item Type: | Article |
|---|---|
| ISSNs: | 0022-4049 (print) |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Social and Human Sciences > Mathematics > Pure Mathematics |
| Item ID: | 199323 |
| Date Deposited: | 18 Oct 2011 10:34 |
| Last Modified: | 18 Oct 2011 10:34 |
| Contributors: | Leary, Ian J. (Author) |
| Date: | 25 August 1995 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/199323 |
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