The Hausdorff dimension of the generalized Brunner–Sidki–Vieira groups

Journal of Fractal Geometry Mathematics of Fractals and Related Topics 2026 Open access

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Authors: Jorge Fariña-Asategui, Mikel Eguzki Garciarena
DOI: 10.4171/jfg/186
Cited by: 0

Abstract

We compute the Hausdorff dimension of the closure of the generalized Brunner–Sidki–Vieira group acting on the m -adic tree for m\ge 2 , providing the first examples of self-similar topologically finitely generated closed subgroups of transcendental Hausdorff dimension in the group of m -adic automorphisms for m\ge 4 even.

Fields of Study & Subjects

Advanced Topology and Set Theory graph theory and CDMA systems Advanced Topics in Algebra

Publication details

Journal / source
Journal of Fractal Geometry Mathematics of Fractals and Related Topics
Publication date
16 April 2026
Language
EN