Cubulating hyperbolic free-by-cyclic groups: the irreducible case
Wise, Daniel T
Duke Mathematical Journal
Duke University Press
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Hagen, M., & Wise, D. T. (2016). Cubulating hyperbolic free-by-cyclic groups: the irreducible case. Duke Mathematical Journal https://www.repository.cam.ac.uk/handle/1810/254205
Let V be a fi nite graph and let ∅ : V → V be an irreducible train track map whose mapping torus has word-hyperbolic fundamental group G. Then G acts freely and cocompactly on a CAT(0) cube complex. Hence, if F is a finite-rank free group and Φ : F → F an irreducible monomorphism so that G = F∗ᵩ is word-hyperbolic, then G acts freely and cocompactly on a CAT(0) cube complex. This holds in particular if Φ is an irreducible automorphism with G = F ⋊ᵩ Z word-hyperbolic.
This is based upon work supported by the National Science Foundation under Grant Number NSF 1045119 and by NSERC.
This record's URL: https://www.repository.cam.ac.uk/handle/1810/254205