Self-similarity of some soluble relatively free groups
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929387289444352 |
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| author | Berlatto, Adilson A. Dantas, Alex C. Santos, Tulio M. G. |
| author_facet | Berlatto, Adilson A. Dantas, Alex C. Santos, Tulio M. G. |
| contents | In this paper we prove that a free nilpotent group of finite rank is transitive self-similar. In contrast, we prove that a free metabelian group of rank $r \geq 2$ is not transitive self-similar. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10665 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-similarity of some soluble relatively free groups Berlatto, Adilson A. Dantas, Alex C. Santos, Tulio M. G. Group Theory In this paper we prove that a free nilpotent group of finite rank is transitive self-similar. In contrast, we prove that a free metabelian group of rank $r \geq 2$ is not transitive self-similar. |
| title | Self-similarity of some soluble relatively free groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2406.10665 |