Actions of finitely generated groups on compact metric spaces

2023/08/30 by Ursula Hamenstädt, Hamenstädt, Ursula
Mathematics · #57S05 #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2308.16136

openalex publication_date 2023/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Γ be a finitely generated group which admits an action by homeomorphisms on a compact 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.

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