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math.GR2021
Finiteness Theorems for Gromov-Hyperbolic Spaces and Groups
Gérard Besson, Gilles Courtois, Sylvestre Gallot +1
In this article we prove that the set of torsion-free groups acting by isometries on a hyperbolic metric space whose entropy is bounded above and with a compact quotient is finite.…
math.MG2021★ 7 cited
Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces
Nicola Cavallucci, Andrea Sambusetti
We prove a quantitative version of the classical Tits' alternative for discrete groups acting on packed Gromov-hyperbolic spaces supporting a convex geodesic bicombing. Some geomet…