Omega-categorical groups and rings of finite dimension
Group Theory
2025-11-12 v1 Logic
Abstract
We prove that a finite-dimensional omega-categorical group is finite-by-abelian-by-finite and that a finite-dimensional omega-categorical ring is virtually finite-by-null.
Cite
@article{arxiv.2511.07492,
title = {Omega-categorical groups and rings of finite dimension},
author = {Moreno Invitti},
journal= {arXiv preprint arXiv:2511.07492},
year = {2025}
}