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arXiv · 1902.02888

Rank, coclass and cohomology

Peter Symonds
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Abstract

We prove that for any prime $p$ the finite $p$-groups of fixed coclass have only finitely many different mod-$p$ cohomology rings between them. This was conjectured by Carlson; we prove it by first proving a stronger version for groups of bounded rank.

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Peter Symonds. 2019-02-07. Rank, coclass and cohomology. https://arxiv.org/abs/1902.02888

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