Cubulating hyperbolic free-by-cyclic groups: the general case

Abstract

Let $\Phi :F\to F$ be an automorphism of the finite-rank free group $F$. Suppose that $G=F{⋊}_{\Phi }\mathbb{Z}$ is word-hyperbolic. Then $G$ acts freely and cocompactly on a CAT(0) cube complex.

36 pages, 11 figures. Version 2 contains minor corrections. Accepted to GAFA

References in corpus (1)

• The mapping-torus of a free group automorphism is hyperbolic relative to the canonical subgroups of polynomial growth

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• On profinite rigidity amongst free-by-cyclic groups I: the generic case
• Some new CAT(0) free-by-cyclic groups
• Combination Theorems in Groups, Geometry and Dynamics
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