Modules of constant Jordan type and a conjecture of Rickard

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Abstract

We prove a special case of a conjecture of Rickard on modules of constant Jordan type over an elementary abelian p-group of rank at least 2. Namely, we show that if there are no Jordan blocks of length one, then the total number of Jordan blocks is divisible by p. We combine this with other techniques to rule out a large number of Jordan types.
Original languageEnglish
Pages (from-to)343-349
Number of pages7
JournalJournal of Algebra
Volume398
Early online date22 Oct 2012
DOIs
Publication statusPublished - 15 Jan 2014

Keywords

  • modular representation theory
  • constant Jordan type

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