The normaliser decomposition for p–local finite groups

Libman, Assaf¹

¹Department of Mathematical Sciences, King’s College, University of Aberdeen, Aberdeen, AB24 3UE, Scotland, United Kingdom

Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1267-1288

Résumé

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.

Détail

DOI : 10.2140/agt.2006.6.1267

Keywords: homology decomposition, $p$–local finite groups

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