## Algebraic & Geometric Topology

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

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 11, Number 3 (2011), 1793-1820.

Dates
Accepted: 28 January 2010
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715246

Digital Object Identifier
doi:10.2140/agt.2011.11.1793

Mathematical Reviews number (MathSciNet)
MR2821442

Zentralblatt MATH identifier
1272.20048

#### Citation

Sageev, Michah; Wise, Daniel T. Periodic flats in $\mathrm{CAT}(0)$ cube complexes. Algebr. Geom. Topol. 11 (2011), no. 3, 1793--1820. doi:10.2140/agt.2011.11.1793. https://projecteuclid.org/euclid.agt/1513715246

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