2012/07/12 by Brieussel, Jeremie
#FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.1207.2820
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.