Novikov groups are right-orderable

dc.contributor.author	Lemieux, Stephane
dc.date.accessioned	2023-02-22T18:18:17Z
dc.date.available	2023-02-22T18:18:17Z
dc.date.issued	2022
dc.description.abstract	Novikov 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.
dc.identifier.citation	Lemieux, S. (2022) Novikov groups are right-orderable. Communications in Algebra, 50:8, 3354-3363. https://doi.org/10.1080/00927872.2022.2032119
dc.identifier.doi	https://doi.org/10.1080/00927872.2022.2032119
dc.identifier.uri	https://hdl.handle.net/20.500.14078/3016
dc.language.iso	en
dc.rights	Attribution-NonCommercial (CC BY-NC)
dc.rights.uri	https://creativecommons.org/licenses/by-nc/4.0/
dc.subject	Algorithmic problems in groups
dc.subject	conjugacy problem
dc.subject	right-orderable groups
dc.subject	word problem
dc.title	Novikov groups are right-orderable
dc.type	Article Post-Print

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