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Fixed Sets of Automorphisms of Countable, Arithmetically Saturated Structures

Published 7 Apr 2022 in math.LO | (2204.03557v2)

Abstract: If an automorphism f of a structure M is such that fix(fk) = fix(f) for all positive k, then M|fix(f) is a substructure of M. The possible isomorphism types of such M|fix(f) are characterized when M is countable and arithmetically saturated.

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