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math.LO2024
An arithmetic algebraic regularity lemma
Anand Pillay, Atticus Stonestrom
We give an 'arithmetic regularity lemma' for groups definable in finite fields, analogous to Tao's 'algebraic regularity lemma' for graphs definable in finite fields. More specific…
math.LO2024
Automorphism groups of prime models, and invariant measures
Anand Pillay
We adapt the notion of a (relatively) definable subset of Aut(M) when M is a saturated model to the case Aut(M/A) when M is atomic and strongly omega-homogeneous over A. We discuss…