Permutation complexes for profinite groups

Symonds, Peter (2007) Permutation complexes for profinite groups. Commentarii Mathematici Helvetici, 82 (1). pp. 1-37. ISSN 0010-2571

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Abstract

An important tool in the analysis of discrete groups of finite virtual cohomological dimension is the existence of a finite dimensional contractible CW-complex on which the group acts with finite stabilizers. We develop a purely algebraic analogue for profinite groups. This enables us to reveal the connection between finiteness conditions on the cohomology of the group and those on the normalizers of the finite p-subgroups.

Item Type:	Article
Uncontrolled Keywords:	Profinite group, cohomology, permutation module
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User:	Ms Lucy van Russelt
Date Deposited:	30 Mar 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/752

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