Groups elementarily equivalent to metabelian Baumslag – Solitar groups and regular bi-interpretability Full article
| Journal |
Annals of Pure and Applied Logic
ISSN: 0168-0072 |
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| Output data | Year: 2026, Volume: 177, Number: 5, Article number : 103695, Pages count : 18 DOI: 10.1016/103695 | ||||
| Tags | Metabelian Baumslag -- Solitar group, Bi-interpretation, Elementary theory, Non-standard model, Exponential group | ||||
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0033 |
Abstract:
We prove that metabelian Baumslag – Solitar group BS(1,k), k>1, is (strongly) regularly bi-interpretable with the ring of integers Z, and describe in algebraic terms all groups that are elementarily equivalent to BS(1,k).
Cite:
Daniyarova E.
, Myasnikov A.
Groups elementarily equivalent to metabelian Baumslag – Solitar groups and regular bi-interpretability
Annals of Pure and Applied Logic. 2026. V.177. N5. 103695 :1-18. DOI: 10.1016/103695
Groups elementarily equivalent to metabelian Baumslag – Solitar groups and regular bi-interpretability
Annals of Pure and Applied Logic. 2026. V.177. N5. 103695 :1-18. DOI: 10.1016/103695
Dates:
| Submitted: | Apr 16, 2024 |
| Accepted: | Nov 30, 2025 |
| Published online: | Dec 2, 2025 |
| Published print: | May 1, 2026 |
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