Permutation presentations of modules over finite groups

Research output: Contribution to journalArticle

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

Fingerprint

Permutation
Finite Group
Module
P-groups
Presentation

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Permutation presentations of modules over finite groups. / Katsura, Takeshi.

In: Journal of Algebra, Vol. 319, No. 9, 01.05.2008, p. 3653-3665.

Research output: Contribution to journalArticle

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