The normaliser decomposition of p-local finite groups

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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.

Original languageEnglish
Pages (from-to)1267-1288
Number of pages21
JournalAlgebraic & Geometric Topology
Publication statusPublished - 2006


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