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Groups acting on cubes and Kazhdan's property (T)

Niblo, Graham A. and Roller, Martin A. (1996) Groups acting on cubes and Kazhdan's property (T) Proceedings of the American Mathematical Society, 126, (3), pp. 693-699.

Record type: Article

Abstract

We show that a group G contains a subgroup K with e(G,K) > 1 if and only if it admits an action on a connected cube that is transitive on the hyperplanes and has no fixed point. As a corollary we deduce that a countable group Gwith such a subgroup does not satisfy Kazhdan's property (T).

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Published date: 1996

Identifiers

Local EPrints ID: 29812
URI: http://eprints.soton.ac.uk/id/eprint/29812
ISSN: 0002-9939
PURE UUID: e514d571-c8ce-4d7c-9a06-22a5cf758ce0

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Date deposited: 21 Dec 2006
Last modified: 17 Jul 2017 15:56

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Contributors

Author: Graham A. Niblo
Author: Martin A. Roller

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