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), 693-699.

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Description/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).

Item Type: Article
ISSNs: 0002-9939 (print)
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID: 29812
Date Deposited: 21 Dec 2006
Last Modified: 27 Mar 2014 18:18
URI: http://eprints.soton.ac.uk/id/eprint/29812

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