Fields interpretable in the free group
We prove that no infinite field is interpretable in the first‐order theory of non‐Abelian free groups. We also obtain a characterization of Abelian groups interpretable in this theory.
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| Veröffentlicht in: | Proceedings of the London Mathematical Society 2024-12, Vol.129 (6), p.n/a |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove that no infinite field is interpretable in the first‐order theory of non‐Abelian free groups. We also obtain a characterization of Abelian groups interpretable in this theory. |
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| ISSN: | 0024-6115 1460-244X |
| DOI: | 10.1112/plms.70009 |