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

Authors :
Liang, Bingbing
Shi, Enhui
Xie, Zhiwen
Xu, Hui
Publication Year :
2021

Abstract

We show that if $G$ is a finitely generated group of subexponential growth and $X$ is a Suslinian continuum, then any action of $G$ on $X$ cannot be expansive.<br />Comment: 7 pages

Subjects

Subjects :
Mathematics - Dynamical Systems

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2104.06156
Document Type :
Working Paper