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.


Full text not available from this repository.


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
Accepted Date and Publication Date:
Date Deposited: 21 Dec 2006
Last Modified: 31 Mar 2016 11:55

Actions (login required)

View Item View Item