Idempotent kG-modules with injective cohomology

• Autores: Dave Benson
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 212, Nº 7, 2008, págs. 1744-1746
• Idioma: inglés
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• Resumen

  • Let G be a finite group andk 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 of Benson, Carlson and Rickard is equal to the injective hull of 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.