2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228038We 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.This is the version published by Algebraic & Geometric Topology on 11 September 2006Group Theory55P05, 55R35text