The nonexistence of expansive actions of groups with subexponential growth on Suslinian continua

被引：1

作者：

Liang, Bingbing ^{[1
]}

Shi, Enhui ^{[1
]}

Xie, Zhiwen ^{[1
]}

Xu, Hui ^{[2
]}

机构：

[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

TOPOLOGY AND ITS APPLICATIONS | 2024年 / 343卷

关键词：

Expansivity; Suslinian continua; Subexponential growth;

D O I：

10.1016/j.topol.2023.108802

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that if G is a finitely generated group of subexponential growth and X is a nondegenerate Suslinian continuum, then any continuous action of G on X is not expansive.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：9

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