The Hausdorff dimension of the generalized Brunner-Sidki-Vieira Groups

2024/03/25 by Fariña-Asategui, Jorge, Garciarena, Mikel E. · 3 citations
#20E08 #28A78 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2403.16876

Abstract

We compute the Hausdorff dimension of the closure of the generalized Brunner-Sidki-Vieira group acting on the m-adic tree for m≥ 2, providing the first examples of self-similar topologically finitely generated closed subgroups of transcendental Hausdorff dimension in the group of m-adic automorphisms.

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