p-Groups are not determined by their integral cohomology groups

Leary, Ian J. (1995) p-Groups are not determined by their integral cohomology groups. Bulletin of the London Mathematical Society, 27, (6), 585-589. (doi:10.1112/blms/27.6.585).


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For each prime p we exhibit non-isomorphic p-groups that have isomorphic integral cohomology groups. We give an indirect proof rather than a computation. The examples for p=2 in the original paper were flawed; an erratum repaired this.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1112/blms/27.6.585
ISSNs: 0024-6093 (print)
1469-2120 (electronic)
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions : Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
ePrint ID: 199319
Accepted Date and Publication Date:
Date Deposited: 18 Oct 2011 12:50
Last Modified: 31 Mar 2016 13:45
URI: http://eprints.soton.ac.uk/id/eprint/199319

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