Ilya Kapovich, Richard Weidmann
Abstract
We obtain a number of finiteness results for groups acting on Gromov-hyperbolic spaces. In particular we show that a torsion-free locally quasiconvex hyperbolic group has only finitely many conjugacy classes of n-generated one-ended subgroups.
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We obtain a number of finiteness results for groups acting on Gromov-hyperbolic spaces. In particular we show that a torsion-free locally quasiconvex hyperbolic group has only finitely many conjugacy classes of n-generated one-ended subgroups.
Key concepts: Mathematics, Quasiconvex function, Conjugacy class, Indecomposable module, Relatively hyperbolic group, Hyperbolic group, Pure mathematics, Torsion (gastropod)