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Cubulating hyperbolic free-by-cyclic groups: the general case. (English) Zbl 1368.20050
Summary: Let \(\Phi\colon F\to F\) be an automorphism of the finite-rank free group \(F\). Suppose that \(G=F\rtimes_\Phi\mathbb Z\) is word-hyperbolic. Then \(G\) acts freely and cocompactly on a CAT(0) cube complex.

20F65 Geometric group theory
20F67 Hyperbolic groups and nonpositively curved groups
20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
20E08 Groups acting on trees
57M20 Two-dimensional complexes (manifolds) (MSC2010)
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