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