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

2018/04/25 by Rémi Coulon, Coulon, Rémi, Denis Osin +1
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Holomorphic and Operator Theory

paper · doi:10.48550/arxiv.1804.09432

openalex publication_date 2018/04/25 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

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

Related

• Finitely generated groups acting uniformly properly on hyperbolic space
• If there is a non-residually finite hyperbolic group, then there is a non-residually finite rigid hyperbolic group
• Residually finite non linear hyperbolic groups
• Non-residually finite groups hyperbolic relative to residually finite subgroups
• Groups that (do not) act isometrically on hyperbolic spaces