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arXiv · 2007.13880

Finitely generated groups acting uniformly properly on hyperbolic space

Robert Kropholler·Vladimir Vankov
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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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Robert Kropholler, Vladimir Vankov. 2020-07-27. Finitely generated groups acting uniformly properly on hyperbolic space. https://arxiv.org/abs/2007.13880

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