paper

Mixed identities for oligomorphic automorphism groups

arXiv:2401.09205 · doi:10.1017/jsl.2025.10123

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.

27 pages. Accepted for publication in JSL

Mixed identities for oligomorphic automorphism groups · wovepaper