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

preprint2014arXivOpen access

Abstract

Let Φ:F→FΦ:F\rightarrow F be an automorphism of the finite-rank free group FF. Suppose that G=F⋊ΦZG=F\rtimes_Φ\mathbb Z is word-hyperbolic. Then GG acts freely and cocompactly on a CAT(0) cube complex.

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