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math.LO2026
PAC fields and difference fields with generic automorphisms
Özlem Beyarslan, Piotr Kowalski
We study the existence of model companions after adjoining an automorphism to field theories in two complementary settings. For bounded PAC fields of characteristic zero containing…
math.GR2026
On generic and supertight automorphisms
Piotr Kowalski, Pınar Uğurlu Kowalski
We show that generic automorphisms of stable groups are supertight in a strong sense. In particular, we obtain the existence of supertight automorphisms. We also answer a question…