An algorithm to compute the Hausdorff dimension of regular branch groups
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914284259246080 |
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| author | Fariña-Asategui, Jorge |
| author_facet | Fariña-Asategui, Jorge |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09113 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An algorithm to compute the Hausdorff dimension of regular branch groups Fariña-Asategui, Jorge Group Theory Primary: 20E08, 28A78, Secondary: 20E18 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. |
| title | An algorithm to compute the Hausdorff dimension of regular branch groups |
| topic | Group Theory Primary: 20E08, 28A78, Secondary: 20E18 |
| url | https://arxiv.org/abs/2502.09113 |