Non-bi-orderability of $6_2$ and $7_6$
Group Theory
2017-06-14 v2 Geometric Topology
Abstract
We prove that the knot groups of and are not bi-orderable. These are the only two knot groups up to 7 crossings whose bi-orderability was not known. Our method applies to a very broad class of knots.
Cite
@article{arxiv.1512.00372,
title = {Non-bi-orderability of $6_2$ and $7_6$},
author = {Azer Akhmedov and Cody Martin},
journal= {arXiv preprint arXiv:1512.00372},
year = {2017}
}
Comments
13 pages, 4 figures. We added some details. Comments are welcome