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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Original Publication URL: http://www.ams.org/proc/1998-126-03/S0002-9939-98-...
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 |
| Item ID: | 29812 |
| Date Deposited: | 21 Dec 2006 |
| Last Modified: | 25 Apr 2013 13:02 |
| Contributors: | Niblo, Graham A. (Author) Roller, Martin A. (Author) |
| Date: | 1996 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29812 |
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