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.
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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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