Orbit problems for free-abelian times free groups and related families
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910826413162496 |
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| author | Carvalho, André Delgado, Jordi |
| author_facet | Carvalho, André Delgado, Jordi |
| contents | We prove that the Brinkmann Problems (BrP & BrCP) and the twisted-conjugacy Problem (TCP) are decidable for any endomorphism of a free-abelian times free (FATF) group Fn x Z^m. Furthermore, we prove the decidability of the two-sided Brinkmann conjugacy problem (2BrCP) for monomorphisms of FATF groups (and combine it with TCP) to derive the decidability of the conjugacy problem for ascending HNN extensions of FATF groups. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_14020 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orbit problems for free-abelian times free groups and related families Carvalho, André Delgado, Jordi Group Theory 20E06 We prove that the Brinkmann Problems (BrP & BrCP) and the twisted-conjugacy Problem (TCP) are decidable for any endomorphism of a free-abelian times free (FATF) group Fn x Z^m. Furthermore, we prove the decidability of the two-sided Brinkmann conjugacy problem (2BrCP) for monomorphisms of FATF groups (and combine it with TCP) to derive the decidability of the conjugacy problem for ascending HNN extensions of FATF groups. |
| title | Orbit problems for free-abelian times free groups and related families |
| topic | Group Theory 20E06 |
| url | https://arxiv.org/abs/2401.14020 |