Mixed identities for oligomorphic automorphism groups
Group Theory
2025-08-20 v3 Logic
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.
Keywords
Cite
@article{arxiv.2401.09205,
title = {Mixed identities for oligomorphic automorphism groups},
author = {Manuel Bodirsky and Jakob Schneider and Andreas Thom},
journal= {arXiv preprint arXiv:2401.09205},
year = {2025}
}
Comments
27 pages. Accepted for publication in JSL