Permutation presentations of modules over finite groups

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1 Citation (Scopus)

Abstract

We introduce a notion of permutation presentations of modules over finite groups, and completely determine finite groups over which every module has a permutation presentation. To get this result, we prove that every coflasque module over a cyclic p-group is permutation projective.

Original languageEnglish
Pages (from-to)3653-3665
Number of pages13
JournalJournal of Algebra
Volume319
Issue number9
DOIs
Publication statusPublished - 2008 May 1
Externally publishedYes

Keywords

  • Coflasque module
  • Finite group
  • Group cohomology
  • Module
  • Permutation module
  • Permutation presentation
  • Sylow group

ASJC Scopus subject areas

  • Algebra and Number Theory

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