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Simplicity of the
automorphism group of fields with operators
Thomas Blossier, Zoé Chatzidakis, Charlotte Hardouin and Amador Martin-Pizarro |
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Vol. 335 (2025), No. 2, 287–322
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Abstract |
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We adapt a proof of Lascar in order to show the simplicity of the group of automorphisms fixing pointwise all nongeneric 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
model theory, differentially closed fields, difference
fields, automorphism groups
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Mathematical Subject Classification
Primary: 03C45
Secondary: 12H05, 12H10
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Milestones
Received: 26 November 2024
Revised: 31 March 2025
Accepted: 2 April 2025
Published: 30 April 2025
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Authors |
| Thomas Blossier | |
| Institut Camille Jordan
UMR5208 Université Claude Bernard Lyon 1 Villeurbanne France |
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| Zoé Chatzidakis | |
| IMJ-PRG Université Paris Cité Paris France |
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| Charlotte Hardouin | |
| Institut de Mathématiques de
Toulouse UMR5219 Université Paul Sabatier Toulouse France |
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| Amador Martin-Pizarro | |
| Abteilung für Mathematische
Logik Albert-Ludwigs-Universität Freiburg Freiburg Germany |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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