Generalized torsion in knot groups

Abstract

We show that for many classical knots one can find generalized torsion in the fundamental group of its complement, commonly called the knot group. It follows that such a group is not bi-orderable. Examples include all torus knots, the (hyperbolic) knot $5_2$ and satellites of these knots.

7 pages, 8 figures

Cited by in corpus (5)

• Generalized torsion elements and bi-orderability of 3-manifold groups
• Testing bi-orderability of knot groups
• Generalized torsion elements in groups
• Generalized torsion elements in infinite groups
• Generalized torsion orders of generalized torsion elements