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

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

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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.

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
Publication status	Published - May 2025

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Bader, U., Sisto, A., "Characterising Acylindrical hyperbolicity via permutation actions". Proceedings of the American Mathematical Society Journal (2025). DOI: [insert DOI]
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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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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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DO - 10.1090/proc/17207

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Characterising Acylindrical hyperbolicity via permutation actions

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