Lemieux, Stephane2023-02-222023-02-222022Lemieux, S. (2022) Novikov groups are right-orderable. Communications in Algebra, 50:8, 3354-3363. https://doi.org/10.1080/00927872.2022.2032119https://hdl.handle.net/20.500.14078/3016Novikov groups were introduced as examples of finitely presented groups with unsolvable conjugacy problem. It was Bokut who showed that each Novikov group has a standard basis and thus a solvable word problem. Further, he showed that for every recursively enumerable degree of unsolvability d there is a Novikov group whose conjugacy problem is of degree d. In the present work, we show that Novikov groups are also right-orderable, thus exhibiting the first known examples of finitely presented right-orderable groups with solvable word problem and unsolvable conjugacy problem.enAttribution-NonCommercial (CC BY-NC)Algorithmic problems in groupsconjugacy problemright-orderable groupsword problemArticle Post-Printhttps://doi.org/10.1080/00927872.2022.2032119