Actions of finitely generated groups on compact metric spaces

IF 0.8 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society Pub Date : 2024-03-29 DOI:10.1090/proc/16865

Ursula Hamenstädt

引用次数: 0

Abstract

Let Γ \Gamma be a finitely generated group which admits an action by homeomorphisms on a metrizable space X X . We show that there is a metric on X X defining the original topology such that for this metric, the action is by bi-Lipschitz transformations.

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紧凑度量空间上有限生成群的作用

让 Γ \Gamma 是一个有限生成的群，它在可元空间 X X 上允许同构作用。我们将证明在 X X 上存在一个定义了原始拓扑的度量，对于这个度量，作用是通过双利普西茨变换实现的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the American Mathematical Society 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

207

审稿时长

2-4 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to shorter research articles (not to exceed 15 printed pages) in all areas of pure and applied mathematics. To be published in the Proceedings, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Longer papers may be submitted to the Transactions of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.