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.
Citation
Michah Sageev. Daniel T Wise. "Periodic flats in $\mathrm{CAT}(0)$ cube complexes." Algebr. Geom. Topol. 11 (3) 1793 - 1820, 2011. https://doi.org/10.2140/agt.2011.11.1793
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