Actions of finitely generated groups on compact metric spaces
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- by Ursula Hamenstädt;
- Proc. Amer. Math. Soc. 152 (2024), 3599-3603
- DOI: https://doi.org/10.1090/proc/16865
- Published electronically: June 5, 2024
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Abstract:
Let $\Gamma$ be a finitely generated group which admits an action by homeomorphisms on a metrizable space $X$. We show that there is a metric on $X$ defining the original topology such that for this metric, the action is by bi-Lipschitz transformations.References
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Bibliographic Information
- Ursula Hamenstädt
- Affiliation: Mathematisches Institut Der Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany
- MR Author ID: 243357
- ORCID: 0000-0001-5417-1460
- Email: ursula@math.uni-bonn.de
- Received by editor(s): August 30, 2023
- Received by editor(s) in revised form: October 31, 2023
- Published electronically: June 5, 2024
- Communicated by: Genevieve S. Walsh
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 3599-3603
- MSC (2020): Primary 57S05
- DOI: https://doi.org/10.1090/proc/16865
- MathSciNet review: 4767287