Knot modules and the Nakanishi index

Kearton, C.; Wilson, S.

doi:10.1090/S0002-9939-02-06582-6

Knot modules and the Nakanishi index
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by C. Kearton and S. M. J. Wilson PDF

Proc. Amer. Math. Soc. 131 (2003), 655-663 Request permission

Abstract:

We examine the structure of the knot module of $9_{38}$ and show that the Nakanishi index of this knot is 2. The Nakanishi indices of $10_{69}$ and $10_{101}$ are also determined by means of the Fox-Smythe row class. Finally, we point out that the Nakanishi index is not additive over knot composition.

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