Generalized torsion, unique root property and Baumslag--Solitar relation for knot groups

Keisuke Himeno, Kimihiko Motegi, Masakazu Teragaito

Let $G$ be a group. If an equation $x^n=y^n$ in $G$ implies $x=y$ for any elements $x$ and $y$, then $G$ is called an $R$--group. It is completely understood which knot groups…