An algorithm to compute the Hausdorff dimension of regular branch groups
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.
Authors
- Jorge Fariña-Asategui (ORCID: https://orcid.org/0009-0007-7029-2474)
Institutions
- University of the Basque Country (ES)
- Lund University (SE)
Publication Details
- Journal
- Journal of Computational Algebra
- Published
- 2025-06-19
- DOI
- https://doi.org/10.1016/j.jaca.2025.100037
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 4.09