# Formal language convexity in left-orderable groups

@article{Su2020FormalLC, title={Formal language convexity in left-orderable groups}, author={H. Su}, journal={Int. J. Algebra Comput.}, year={2020}, volume={30}, pages={1437-1456} }

We propose a criterion for preserving the regularity of a formal language representation when passing from groups to subgroups. We use this criterion to show that the regularity of a positive cone language in a left-orderable group passes to its finite index subgroups, and to show that there exists no left order on a finitely generated acylindrically hyperbolic group such that the corresponding positive cone is represented by a quasi-geodesic regular language. We also answer one of Navas… Expand

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