Right Amenable Left Group Sets and the Tarski-F{\o}lner Theorem
Group Theory
2017-09-05 v2
Abstract
We introduce right amenability, right F{\o}lner nets, and right paradoxical decompositions for left homogeneous spaces and prove the Tarski-F{\o}lner theorem for left homogeneous spaces with finite stabilisers. It states that right amenability, the existence of right F{\o}lner nets, and the non-existence of right paradoxical decompositions are equivalent.
Keywords
Cite
@article{arxiv.1603.06460,
title = {Right Amenable Left Group Sets and the Tarski-F{\o}lner Theorem},
author = {Simon Wacker},
journal= {arXiv preprint arXiv:1603.06460},
year = {2017}
}