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Thompson's group F is not strongly amenable

Authors :
Hartman, Yair
Juschenko, Kate
Tamuz, Omer
Ferdowsi, Pooya Vahidi
Publication Year :
2016

Abstract

We show that Thompson's group $F$ has a topological action on a compact metric space that is proximal and has no fixed points.<br />Comment: Accepted to Ergodic Theory and Dynamical Systems

Subjects

Subjects :
Mathematics - Group Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1607.04915
Document Type :
Working Paper
Full Text :
https://doi.org/10.1017/etds.2017.49
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