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27 April 2024
 
  » arxiv » 1902.2888

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Rank, coclass and cohomology
Peter Symonds ;
Date 8 Feb 2019
AbstractWe 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.
Source arXiv, 1902.2888
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