Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "1-relator"

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  • Nonhyperbolic free-by-cyclic and one-relator groups 

    Button, Jack; Kropholler, RP (New York Journal of MathematicsNew York Journal of Mathematicshttp://nyjm.albany.edu/j/2016/22-35.html, 2016-08-01)
    We show that the free-by-cyclic groups of the form $F_2$ $\rtimes$ $\Bbb Z$ act properly cocompactly on CAT(0) square complexes. We also show using generalized Baumslag–Solitar groups that all known groups defined by a ...