Idempotent kG-modules with injective cohomology

Dave Benson

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Let G be a finite group and k a field of characteristic p. This paper gives a short proof of a recent theorem of Benson and Greenlees, stating that the cohomology of the kappa module κp of Benson, Carlson and Rickard is equal to the injective hull of H∗(G,k)/p as a graded H∗(G,k)-module. This shorter proof does not naturally extend to compact Lie groups, whereas the version of Benson and Greenlees is proved in this broader context.
Original languageEnglish
Pages (from-to)1744-1746
Number of pages3
JournalJournal of Pure and Applied Algebra
Volume212
Issue number7
Early online date24 Jan 2008
DOIs
Publication statusPublished - Jul 2008

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Idempotent
Injective
Cohomology
Module
Compact Lie Group
Finite Group
Theorem
Context

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Idempotent kG-modules with injective cohomology. / Benson, Dave.

In: Journal of Pure and Applied Algebra, Vol. 212, No. 7, 07.2008, p. 1744-1746.

Research output: Contribution to journalArticle

Benson, Dave. / Idempotent kG-modules with injective cohomology. In: Journal of Pure and Applied Algebra. 2008 ; Vol. 212, No. 7. pp. 1744-1746.
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