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 |
---|---|
Pages (from-to) | 1267-1288 |
Number of pages | 21 |
Journal | Algebraic & Geometric Topology |
Volume | 6 |
DOIs | |
Publication status | Published - 2006 |