### Abstract

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 language | English |
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Pages (from-to) | 1267-1288 |

Number of pages | 21 |

Journal | Algebraic & Geometric Topology |

Volume | 6 |

DOIs | |

Publication status | Published - 2006 |