Simplicity of the automorphism group of fields with operators
Logic
2025-04-07 v4 Group Theory
Abstract
We adapt a proof of Lascar in order to show the simplicity of the group of automorphisms fixing pointwise all non-generic elements for a class of uncountable models of suitable theories, encompassing both strongly minimal theories as well as several theories of fields with operators.
Keywords
Cite
@article{arxiv.2209.10891,
title = {Simplicity of the automorphism group of fields with operators},
author = {Thomas Blossier and Zoé Chatzidakis and Charlotte Hardouin and Amador Martin-Pizarro},
journal= {arXiv preprint arXiv:2209.10891},
year = {2025}
}