Rank, Coclass and Cohomology

Peter Symonds

doi:10.1093/imrn/rnz287

Rank, Coclass and Cohomology

Peter Symonds

Pure Mathematics

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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 fixed rank.

Original language	English
Article number	rnz287
Journal	International Mathematics Research Notices
Volume	0
DOIs	https://doi.org/10.1093/imrn/rnz287
Publication status	Published - 18 Dec 2019

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JO - International Mathematics Research Notices

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Rank, Coclass and Cohomology

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