A Partial Order in the Knot Table

Teruaki Kitano; Masaaki Suzuki

doi:em/1136926969

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Home > Journals > Experiment. Math. > Volume 14 > Issue 4 > Article

2005 A Partial Order in the Knot Table

Teruaki Kitano, Masaaki Suzuki

Experiment. Math. 14(4): 385-390 (2005).

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Abstract

We write $K_1 \geq K_2$ 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.