Homology Decompositions for Classifying Spaces of Finite Groups Associated to Modular Representations

  • D. Notbohm


For a prime p, a homology decomposition of the classifying space BG of a finite group G consist of a functor F : D −→ spaces from a small category into the category of spaces and a map hocolim F −→ BG from the homotopy colimit to BG which induces an isomorphism in mod-p homology. Associated to a modular representation G −→ Gl(n; Fp) we construct a family of… (More)