Self-similarity of the generalized Baumslag-Solitar groups
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915864877465600 |
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| author | Kochloukova, Dessislava H. |
| author_facet | Kochloukova, Dessislava H. |
| contents | We show that all residually finite generalized Baumslag-Solitar groups of rank $n \geq 1$, defined on a finite and connected graph, are self-similar. Furthermore we prove that all residually finite fundamental groups of (finite, connected) graph of groups where all vertex and edge groups are torsion-free and commensurable with the Heisenberg group and all edge groups properly embed in the corresponding vertex groups are self-similar. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14556 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Self-similarity of the generalized Baumslag-Solitar groups Kochloukova, Dessislava H. Group Theory We show that all residually finite generalized Baumslag-Solitar groups of rank $n \geq 1$, defined on a finite and connected graph, are self-similar. Furthermore we prove that all residually finite fundamental groups of (finite, connected) graph of groups where all vertex and edge groups are torsion-free and commensurable with the Heisenberg group and all edge groups properly embed in the corresponding vertex groups are self-similar. |
| title | Self-similarity of the generalized Baumslag-Solitar groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2603.14556 |