Modules of constant Jordan type with one non-projective block

David J Benson

Research output: Contribution to journalArticle

12 Citations (Scopus)

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

Fingerprint

P-rank
Algebraically closed
Module
Generalization

Keywords

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

Cite this

Modules of constant Jordan type with one non-projective block. / Benson, David J.

In: Algebras and Representation Theory, Vol. 13, No. 3, 06.2010, p. 315-318.

Research output: Contribution to journalArticle

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