Characterising acylindrical hyperbolicity via permutation actions

Uri Bader; Alessandro Sisto

doi:10.1090/proc/17207

Characterising acylindrical hyperbolicity via permutation actions

Uri Bader, Alessandro Sisto

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1827-1838
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	153
Issue number	5
Early online date	27 Feb 2025
DOIs	https://doi.org/10.1090/proc/17207
State	Published Online - 27 Feb 2025

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/proc/17207

https://arxiv.org/abs/2207.02828License: Other

Cite this

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AB - 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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Characterising acylindrical hyperbolicity via permutation actions

Abstract

All Science Journal Classification (ASJC) codes

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