Modules of constant Jordan type with one non-projective block

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Abstract

Let k be an algebraically closed field of characteristic p and G be a finite
group of p-rank at least two. We prove that there cannot exist a finite dimensional
kG-module of stable constant Jordan type [a] with 2 = a = p - 2. This is a generalisation of a conjecture of Carlson, Friedlander and Pevtsova.
Original languageEnglish
Pages (from-to)315-318
Number of pages4
JournalAlgebras and Representation Theory
Volume13
Issue number3
DOIs
Publication statusPublished - Jun 2010

Keywords

  • modules of constant Jordan type
  • finite dimensional kG-module
  • elementary abelian p-groups
  • shifted subgroups

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