The normaliser decomposition for p–local finite groups

نویسندگان

  • ASSAF LIBMAN
  • Assaf Libman
چکیده

We construct an analogue of the normaliser decomposition for p–local finite groups (S,F ,L) with respect to collections of F –centric subgroups and collections of elementary abelian subgroups of S . This enables us to describe the classifying space of a p–local finite group, before p–completion, as the homotopy colimit of a diagram of classifying spaces of finite groups whose shape is a poset and all maps are induced by group monomorphisms.

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تاریخ انتشار 2008