Browsing by Author "Hagen, Mark Fearghus"

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  • Cubulating hyperbolic free-by-cyclic groups: the irreducible case 

    Hagen, Mark Fearghus; Wise, Daniel T (Duke University PressDuke Mathematical Journal, 2016)
    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 ...

  • Quantifying separability in virtually special groups 

    Hagen, Mark Fearghus; Patel, Priyam (Mathematical Society PublishingPacific Journal of Mathematics, 2016)
    We give a new, effective proof of the separability of cubically convex-cocompact subgroups of special groups. As a consequence, we show that if G is a virtually compact special hyperbolic group, and Q ≤ G is a K-quasiconvex ...