Folner sets of alternate directed groups
Group Theory
2013-09-09 v2
Abstract
An explicit family of Folner sets is constructed for some directed groups acting on a rooted tree of sublogarithmic valency by alternate permutations. In the case of bounded valency, these groups were known to be amenable by probabilistic methods. The present construction provides a new and independent proof of amenability, using neither random walks, nor word length.
Cite
@article{arxiv.1207.2820,
title = {Folner sets of alternate directed groups},
author = {Jeremie Brieussel},
journal= {arXiv preprint arXiv:1207.2820},
year = {2013}
}
Comments
Final version to appear at Annales de l'Institut Fourier