Non self-similar metabelian groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911141478793216 |
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| author | Kochloukova, Dessislava Hristova Luiz, Melissa de Sousa |
| author_facet | Kochloukova, Dessislava Hristova Luiz, Melissa de Sousa |
| contents | We show some sufficient conditions for a finitely presented group $G = A \rtimes Q$, with $A$ and $Q$ abelian and the Krull dimension of $A$ equals to $2$ to be not self-similar. This is in contrast to the case of the Krull dimension of $A$ equals to $1$ considered by Kochloukova and Sidki in 2020. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05798 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non self-similar metabelian groups Kochloukova, Dessislava Hristova Luiz, Melissa de Sousa Group Theory We show some sufficient conditions for a finitely presented group $G = A \rtimes Q$, with $A$ and $Q$ abelian and the Krull dimension of $A$ equals to $2$ to be not self-similar. This is in contrast to the case of the Krull dimension of $A$ equals to $1$ considered by Kochloukova and Sidki in 2020. |
| title | Non self-similar metabelian groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2509.05798 |