
TL;DR
This paper computes the mod-p cohomology rings for an infinite family of p-groups with cyclic derived subgroups, using embeddings into compact Lie groups, advancing understanding of their algebraic topology.
Contribution
It introduces a novel method of embedding p-groups into compact Lie groups to determine their cohomology rings, specifically for groups with cyclic derived subgroups.
Findings
Cohomology rings explicitly determined for the family of p-groups.
Method involving embedding into compact Lie groups proved effective.
Results extend knowledge of p-group cohomology structures.
Abstract
We determine the mod-p 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 by P. H. Kropholler and J. Huebschmann.
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