Abstract
Let \({\Phi\colon F\rightarrow F}\) 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.
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Hagen, M.F., Wise, D.T. Cubulating hyperbolic free-by-cyclic groups: the general case. Geom. Funct. Anal. 25, 134–179 (2015). https://doi.org/10.1007/s00039-015-0314-y
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DOI: https://doi.org/10.1007/s00039-015-0314-y