Generalized torsion in knot groups
Algebraic Topology
2019-08-15 v1 Group Theory
Geometric Topology
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 and satellites of these knots.
Cite
@article{arxiv.1409.5730,
title = {Generalized torsion in knot groups},
author = {Geoff Naylor and Dale Rolfsen},
journal= {arXiv preprint arXiv:1409.5730},
year = {2019}
}
Comments
7 pages, 8 figures