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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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