The Hausdorff dimension of the generalized Brunner-Sidki-Vieira Groups
Group Theory
2024-03-26 v1
Abstract
We compute the Hausdorff dimension of the closure of the generalized Brunner-Sidki-Vieira group acting on the -adic tree for , providing the first examples of self-similar topologically finitely generated closed subgroups of transcendental Hausdorff dimension in the group of -adic automorphisms.
Keywords
Cite
@article{arxiv.2403.16876,
title = {The Hausdorff dimension of the generalized Brunner-Sidki-Vieira Groups},
author = {Jorge Fariña-Asategui and Mikel E. Garciarena},
journal= {arXiv preprint arXiv:2403.16876},
year = {2024}
}
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16 pages