Some minimal elements for a partial order of prime knots
Geometric Topology
2014-12-11 v1
Abstract
A partial order on the set of prime knots can be defined by the existence of an epimorphism between knot groups. We prove that all the prime knots with up to crossings are minimal. We also show that each fibered knot with the irreducible Alexander polynomial is minimal.
Cite
@article{arxiv.1412.3168,
title = {Some minimal elements for a partial order of prime knots},
author = {Teruaki Kitano and Masaaki Suzuki},
journal= {arXiv preprint arXiv:1412.3168},
year = {2014}
}
Comments
3 pages