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arXiv · 2209.10891

Simplicity of the automorphism group of fields with operators

Thomas Blossier·Zoé Chatzidakis·Charlotte Hardouin·Amador Martin-Pizarro
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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.

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Thomas Blossier, Zoé Chatzidakis, Charlotte Hardouin, Amador Martin-Pizarro. 2022-09-22. Simplicity of the automorphism group of fields with operators. https://arxiv.org/abs/2209.10891

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