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Article Dans Une Revue Annales de l'Institut Fourier Année : 2014

Folner sets of alternate directed groups

Résumé

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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Dates et versions

hal-00820559 , version 1 (29-06-2017)

Identifiants

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Jeremie Brieussel. Folner sets of alternate directed groups. Annales de l'Institut Fourier, 2014, 64 (3), pp.1109-1130. ⟨10.5802/aif.2875⟩. ⟨hal-00820559⟩
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