Fields interpretable in the free group
Logic
2024-11-01 v2 Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2012.14468,
title = {Fields interpretable in the free group},
author = {Rizos Sklinos},
journal= {arXiv preprint arXiv:2012.14468},
year = {2024}
}
Comments
60 pages, version accepted in the Proceedings of the London Mathematical Society