Mixed identities for oligomorphic automorphism groups

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Contributors

Abstract

We study mixed identities for oligomorphic automorphism groups of countable relational structures. Our main result gives sufficient conditions for such a group to not admit a mixed identity without particular constants. We study numerous examples and prove in many cases that there cannot be a non-singular mixed identity.

Details

Original languageEnglish
JournalJournal of Symbolic Logic
Publication statusE-pub ahead of print - Aug 2025
Peer-reviewedYes

External IDs

ORCID /0000-0002-7245-2861/work/208071153
ORCID /0000-0001-8228-3611/work/208071913

Keywords

ASJC Scopus subject areas

Keywords

  • mixed identity, model-theoretic algebraic closure, oligomorphic permutation group, ω-categorical structure