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.

Keywords

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

Mathematical Subject Classification

Primary: 20E99, 20F65, 20F67

References

Publication

Received: 24 January 2010
Accepted: 28 January 2010
Published: 12 June 2011

Authors