Groups acting on CAT(0) cube complexes

Niblo, Graham and Reeves, Lawrence (1997) Groups acting on CAT(0) cube complexes. Geometry and Topology, 1, 1-7. (doi:10.2140/gt.1997.1.1).


PDF - Pre print
Download (263Kb)
Original Publication URL:


We show that groups satisfying Kazhdan's property (T) have no unbounded actions on finite dimensional CAT(0) cube complexes, and deduce that there is a locally CAT(-1) Riemannian manifold which is not homotopy equivalent to any finite dimensional, locally CAT(0) cube complex.

Item Type: Article
ISSNs: 1464-8997 (print)
Related URLs:
Keywords: kazhdan's property (t), tits' buildings, hyperbolic geometry, cat(0) cube complexes, locally cat(-1) spaces, Sp(n,1)–manifolds
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID: 29814
Date Deposited: 06 Feb 2007
Last Modified: 27 Mar 2014 18:18

Actions (login required)

View Item View Item

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics