An algorithm to compute the Hausdorff dimension of regular branch groups
Group Theory
2026-01-29 v1
Abstract
An explicit algorithm is given for the computation of the Hausdorff dimension of the closure of a regular branch group in terms of an arbitrary branch structure. We implement this algorithm in GAP and apply it to a family of GGS-groups acting on the 4-adic tree.
Keywords
Cite
@article{arxiv.2502.09113,
title = {An algorithm to compute the Hausdorff dimension of regular branch groups},
author = {Jorge Fariña-Asategui},
journal= {arXiv preprint arXiv:2502.09113},
year = {2026}
}
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7 pages