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- W2947514013 abstract "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' questions by giving an example of an infinite family of groups which admit a positive cone that is generated by exactly $k$ generators, for every $k geq 3$. As a special case of our construction, we obtain a finitely generated positive cone for $F_2 times mathbb{Z}$." @default.
- W2947514013 created "2019-06-07" @default.
- W2947514013 creator A5050017151 @default.
- W2947514013 date "2019-05-30" @default.
- W2947514013 modified "2023-09-26" @default.
- W2947514013 title "Formal language convexity in left-orderable groups" @default.
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