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Knot modules and the Nakanishi index |
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| Authors: | C. Kearton S. M. J. Wilson |
| Affiliation: | Department of Mathematics, University of Durham, South Road, Durham DH1 3LE, England ; Department of Mathematics, University of Durham, South Road, Durham DH1 3LE, England |
| Abstract: | We examine the structure of the knot module of  and show that the Nakanishi index of this knot is 2. The Nakanishi indices of  and  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. |
| Keywords: | Knot module Nakanishi index Fox-Smythe row class |
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