The University of Southampton
University of Southampton Institutional Repository

Groups acting on CAT(0) cube complexes

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

Record type: Article


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.

PDF nibloreeves.pdf - Author's Original
Download (269kB)

More information

Published date: 1997
Keywords: kazhdan's property (t), tits' buildings, hyperbolic geometry, cat(0) cube complexes, locally cat(-1) spaces, Sp(n, 1)–manifolds


Local EPrints ID: 29814
ISSN: 1464-8997
PURE UUID: 375f5458-3ab0-4e89-8e71-385df5abae94

Catalogue record

Date deposited: 06 Feb 2007
Last modified: 17 Jul 2017 15:56

Export record



Author: Graham Niblo
Author: Lawrence Reeves

University divisions

Download statistics

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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.