A partial order on the set of prime knots with up to 11 crossings

Keiichi Horie, Teruaki Kitano, Mineko Matsumoto +1

Let $K$ be a prime knot in $S^3$ and $G(K)={\pi }_1(S^3-K)$ the knot group. We write $K_1\ge K_2$ if there exists a surjective homomorphism from $G(K_1)$ onto $G(K_2)$. In this paper,…