JournalsggdVol. 17, No. 1pp. 101–109

Finitely generated groups acting uniformly properly on hyperbolic space

  • Peter H. Kropholler

    University of Münster, Germany

  • Vladimir Vankov

    University of Bristol, UK
Finitely generated groups acting uniformly properly on hyperbolic space cover
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Abstract

We construct an uncountable sequence of groups acting uniformly properly on hyperbolic spaces. We show that only countably many of these groups can be virtually torsion-free. This gives new examples of groups acting uniformly properly on hyperbolic spaces that are not virtually torsion-free and cannot be subgroups of hyperbolic groups.

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Peter H. Kropholler, Vladimir Vankov, Finitely generated groups acting uniformly properly on hyperbolic space. Groups Geom. Dyn. 17 (2023), no. 1, pp. 101–109

DOI 10.4171/GGD/659