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

Abstract

In this short note we show the existence of an epimorphism between groups of $2$-bridge knots by means of an elementary argument using the Riley polynomial. As a corollary, we give a classification of $2$-bridge knots by Riley polynomials.

Cited by in corpus (1)

• Symplectic quandles and parabolic representations of 2-bridge Knots and Links