Fields interpretable in the free group

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1. Verfasser: Sklinos, Rizos
Format: Preprint
Veröffentlicht: 2020
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author Sklinos, Rizos
author_facet Sklinos, Rizos
contents We prove that no infinite field is interpretable in the first-order theory of nonabelian free groups. We also obtain a characterization of Abelian groups interpretable in this theory.
format Preprint
id arxiv_https___arxiv_org_abs_2012_14468
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Fields interpretable in the free group
Sklinos, Rizos
Logic
Group Theory
We prove that no infinite field is interpretable in the first-order theory of nonabelian free groups. We also obtain a characterization of Abelian groups interpretable in this theory.
title Fields interpretable in the free group
topic Logic
Group Theory
url https://arxiv.org/abs/2012.14468