Novikov groups are right-orderable
Novikov groups are right-orderable
Author
Lemieux, Stephane
Faculty Advisor
Date
2022
Keywords
Algorithmic problems in groups , conjugacy problem , right-orderable groups , word problem
Abstract (summary)
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.
Publication Information
Lemieux, S. (2022) Novikov groups are right-orderable. Communications in Algebra, 50:8, 3354-3363. https://doi.org/10.1080/00927872.2022.2032119
Notes
Item Type
Article
Language
Rights
Attribution-NonCommercial (CC BY-NC)
