Geodesic
Periodic flats in CAT(0) cube complexes
Sageev, Michah1 ; Wise, Daniel T2
1Department of Mathematics, Technion, Haifa 32000, Israel
2Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 2K6
Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1793-1820
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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.

DOI : 10.2140/agt.2011.11.1793
Keywords: CAT(0) cubical complex, word-hyperbolic group, torus, flat closing

Sageev, Michah  1   ; Wise, Daniel T  2

1 Department of Mathematics, Technion, Haifa 32000, Israel
2 Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 2K6 
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Sageev, Michah; Wise, Daniel T. Periodic flats in CAT(0) cube complexes. Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1793-1820. doi: 10.2140/agt.2011.11.1793

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