Externally definable fsg groups in NIP theories
Time: 2025-05-26
Published By: Jing Liu
Speaker(s): Artem Chernikov (University of Maryland )
Time: 09:00-10:00 May 29, 2025
Venue: Online
Abstract:
We show that every fsg group G externally definable in an NIP structure M is definably isomorphic to a group interpretable in M. Our proof relies on honest definitions and a group chunk result reconstructing a hyper-definable group from its multiplication given generically with respect to a definable Keisler measure. We also discuss some related results on externally (type-)definable sets and groups.
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