A non-residually finite group acting uniformly properly on a hyperbolic space

Rémi Coulon (1) , Denis Osin (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Department of Mathematics, Vanderbilt University

In this article we produce an example of a non-residually finite group which admits a uniformly proper action on a Gromov hyperbolic space.

Domaines: Théorie des groupes [math.GR]; Géométrie métrique [math.MG]; Topologie géométrique [math.GT]

Rémi Coulon, Denis Osin. A non-residually finite group acting uniformly properly on a hyperbolic space. Journal de l'École polytechnique — Mathématiques, 2019, 6, pp.19-30. ⟨10.5802/jep.86⟩. ⟨hal-01773629v3⟩