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Publication - Dr Mark Hagen

    Cubulating hyperbolic free-by-cyclic groups

    The irreducible case

    Citation

    Hagen, MF & Wise, DT, 2016, ‘Cubulating hyperbolic free-by-cyclic groups: The irreducible case’. Duke Mathematical Journal, vol 165., pp. 1753-1813

    Abstract

    Let V be a finite graph, and let ϕ: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 if Φ:F→F is 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⋊ΦZ word-hyperbolic.

    Full details in the University publications repository