English

A note on Riley polynomials of $2$-bridge knots

Geometric Topology 2016-09-27 v1

Abstract

In this short note we show the existence of an epimorphism between groups of 22-bridge knots by means of an elementary argument using the Riley polynomial. As a corollary, we give a classification of 22-bridge knots by Riley polynomials.

Keywords

Cite

@article{arxiv.1609.07819,
  title  = {A note on Riley polynomials of $2$-bridge knots},
  author = {Teruaki Kitano and Takayuki Morifuji},
  journal= {arXiv preprint arXiv:1609.07819},
  year   = {2016}
}