Generalized torsion elements in the knot groups of twist knots
Geometric Topology
2015-05-08 v1 Group Theory
Abstract
It is well known that any knot group is torsion-free, but it may admit a generalized torsion element. We show that the knot group of any negative twist knot admits a generalized torsion element. This is a generalization of the same claim for the knot , which is the -twist knot, by Naylor and Rolfsen.
Keywords
Cite
@article{arxiv.1505.01590,
title = {Generalized torsion elements in the knot groups of twist knots},
author = {Masakazu Teragaito},
journal= {arXiv preprint arXiv:1505.01590},
year = {2015}
}
Comments
5 pages, 2 figures