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2006 The normaliser decomposition for $p$–local finite groups
Assaf Libman
Algebr. Geom. Topol. 6(3): 1267-1288 (2006). DOI: 10.2140/agt.2006.6.1267

Abstract

We construct an analogue of the normaliser decomposition for p–local finite groups (S,,) with respect to collections of –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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Assaf Libman. "The normaliser decomposition for $p$–local finite groups." Algebr. Geom. Topol. 6 (3) 1267 - 1288, 2006. https://doi.org/10.2140/agt.2006.6.1267

Information

Received: 4 February 2005; Accepted: 29 June 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1128.55006
MathSciNet: MR2253446
Digital Object Identifier: 10.2140/agt.2006.6.1267

Subjects:
Primary: 55P05, 55R35

Rights: Copyright © 2006 Mathematical Sciences Publishers

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