The integral cohomology rings of some p-groups

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).


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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

Item Type: Article
ISSNs: 0305-0041 (print)
1469-8064 (electronic)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
ePrint ID: 199295
Date Deposited: 14 Oct 2011 14:20
Last Modified: 27 Mar 2014 19:46

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