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arXiv · 1207.2820

Folner sets of alternate directed groups

Jeremie Brieussel
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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.

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Jeremie Brieussel. 2013-09-06. Folner sets of alternate directed groups. https://arxiv.org/abs/1207.2820

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