On the isomorphism problem for generalized Baumslag-Solitar groups: invariants and flexible configurations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918113628389376 |
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| author | Ascari, Dario Casals-Ruiz, Montserrat Kazachkov, Ilya |
| author_facet | Ascari, Dario Casals-Ruiz, Montserrat Kazachkov, Ilya |
| contents | We prove that the isomorphism problem is decidable for generalized Baumslag-Solitar (GBS) groups with one quasi-conjugacy class and full support gaps. In order to do so we introduce a family of invariants that fully characterize the isomorphism within this class of GBSs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02306 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the isomorphism problem for generalized Baumslag-Solitar groups: invariants and flexible configurations Ascari, Dario Casals-Ruiz, Montserrat Kazachkov, Ilya Group Theory 20E08, 20F10, 20F28 We prove that the isomorphism problem is decidable for generalized Baumslag-Solitar (GBS) groups with one quasi-conjugacy class and full support gaps. In order to do so we introduce a family of invariants that fully characterize the isomorphism within this class of GBSs. |
| title | On the isomorphism problem for generalized Baumslag-Solitar groups: invariants and flexible configurations |
| topic | Group Theory 20E08, 20F10, 20F28 |
| url | https://arxiv.org/abs/2508.02306 |