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}
}
  • H. Su
  • Published 2020
  • Mathematics, Computer Science
  • Int. J. Algebra Comput.
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
1 Citations
Regular left-orders on groups

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