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arXiv · 2207.02828

Characterising acylindrical hyperbolicity via permutation actions

Uri Bader·Alessandro Sisto
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Abstract

We characterise acylindrical hyperbolicity of a group in terms of properties of an action of the group on a set (without any extra structure). In particular, this applies to the action of the group on itself by left multiplication, as well as the action on a (full measure subset of the) Furstenberg-Poisson boundary.

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Uri Bader, Alessandro Sisto. 2022-07-06. Characterising acylindrical hyperbolicity via permutation actions. https://arxiv.org/abs/2207.02828

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