Rank, Coclass and Cohomology

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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 languageEnglish
Article numberrnz287
JournalInternational Mathematics Research Notices
Publication statusPublished - 18 Dec 2019


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