Periodic flats in CAT(0) cube complexes

Sageev, Michah; Wise, Daniel T

doi:10.2140/agt.2011.11.1793

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Periodic flats in $\mathrm{CAT}(0)$ cube complexes

Michah Sageev and Daniel T Wise

Algebraic & Geometric Topology 11 (2011) 1793–1820

DOI: 10.2140/agt.2011.11.1793

Abstract

We show that the flat closing conjecture is true for groups acting properly and cocompactly on a CAT(0) cube complex when the action satisfies the cyclic facing triple property. For instance, this property holds for fundamental groups of 3–manifolds that act freely on CAT(0) cube complexes.

In memory of Bob Brooks

Keywords

CAT(0) cubical complex, word-hyperbolic group, torus, flat closing

Mathematical Subject Classification 2000

Primary: 20E99, 20F65, 20F67

References

Publication

Received: 24 January 2010

Accepted: 28 January 2010

Published: 12 June 2011

Authors

Michah Sageev
Department of Mathematics Technion Haifa 32000 Israel

Daniel T Wise
Mathematics and Statistics McGill University Montreal Quebec Canada H3A 2K6

Volume 11, issue 3 (2011)