A Partial Order in the Knot Table

Abstract

We write K 1 ≥ K 2 for two prime knots K 1,K 2 if there exists a surjective group homomorphism from G(K 1) onto G(K 2) where G(K 1),G(K 2) are the knot groups of K 1,K 2, respectively. In this paper, we determine this partial order for the knots in Rolfsen's knot table.