Fields interpretable in the free group

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
1. Verfasser: Sklinos, Rizos
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container_title Proceedings of the London Mathematical Society
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creator Sklinos, Rizos
description 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.
doi_str_mv 10.1112/plms.70009
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title Fields interpretable in the free group
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