Idempotent kG-modules with injective cohomology

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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
Issue number7
Early online date24 Jan 2008
Publication statusPublished - Jul 2008


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