The normaliser decomposition for p-local finite groups

Details The normaliser decomposition for p-local finite groups The normaliser decomposition for p-local finite groups

2009-04-22

arxiv.org/abs/0904.3452v1

Algebr. Geom. Topol. 6 (2006) 1267-1288

Mathematics

Group Theory

This is the version published by Algebraic & Geometric Topology on 11 September 2006

Scientific paper

10.2140/agt.2006.6.1267

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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