An algorithm to compute the Hausdorff dimension of regular branch groups
(2025) In Journal of Computational Algebra 15.- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/63a807e8-0e7d-4abc-880f-e400bc7b59b8
- author
- Fariña-Asategui, Jorge LU
- organization
- publishing date
- 2025-09
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- GGS-groups, Hausdorff dimension, Regular branch groups
- in
- Journal of Computational Algebra
- volume
- 15
- article number
- 100037
- publisher
- Elsevier
- external identifiers
-
- scopus:105022732305
- ISSN
- 2772-8277
- DOI
- 10.1016/j.jaca.2025.100037
- language
- English
- LU publication?
- yes
- id
- 63a807e8-0e7d-4abc-880f-e400bc7b59b8
- date added to LUP
- 2026-02-03 14:05:54
- date last changed
- 2026-04-15 01:03:48
@article{63a807e8-0e7d-4abc-880f-e400bc7b59b8,
abstract = {{<p>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.</p>}},
author = {{Fariña-Asategui, Jorge}},
issn = {{2772-8277}},
keywords = {{GGS-groups; Hausdorff dimension; Regular branch groups}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{Journal of Computational Algebra}},
title = {{An algorithm to compute the Hausdorff dimension of regular branch groups}},
url = {{http://dx.doi.org/10.1016/j.jaca.2025.100037}},
doi = {{10.1016/j.jaca.2025.100037}},
volume = {{15}},
year = {{2025}},
}