Free orbits for minimal actions on the circle
Dynamical Systems
2016-09-30 v1 Group Theory
Abstract
We prove that if is a countable group without a subgroup isomorphic to that acts faithfully and minimally by orientation preserving homeomorphisms on the circle, then it has a free orbit. We give examples showing that this does not hold for actions by homeomorphisms of the line.
Cite
@article{arxiv.1609.09452,
title = {Free orbits for minimal actions on the circle},
author = {Joaquín Brum and Matilde Martínez and Rafael Potrie},
journal= {arXiv preprint arXiv:1609.09452},
year = {2016}
}