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@article{Hermiller2017NoPC, title={No positive cone in a free product is regular}, author={Susan M. Hermiller and Zoran Sunic}, journal={IJAC}, year={2017}, volume={27}, pages={1113-1120} }

- Published 2017 in IJAC
DOI:10.1142/S0218196717500527

We show that there exists no left order on the free product of two nontrivial, finitely generated, left-orderable groups such that the corresponding positive cone is represented by a regular language. Since there are orders on free groups of rank at least two with positive cone languages that are contextfree (in fact, 1-counter languages), our result… CONTINUE READING

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