Kearton, C. and Wilson, S. M. J. (2003) 'Knot modules and the Nakanishi index.', Proceedings of the American Mathematical Society., 131 (2). pp. 655-663.
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.
| Item Type: | Article |
|---|---|
| Keywords: | Knot module, Nakanishi index, Fox-Smythe, Row class. |
| Full text: | PDF - Published Version (233Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://www.ams.org/proc/2003-131-02/S0002-9939-02-06582-6/home.html |
| Publisher statement: | First published in Proceedings of the American Mathematical Society, 131 (2) 2003, published by the American Mathematical Society |
| Record Created: | 27 Aug 2008 |
| Last Modified: | 24 Aug 2011 13:31 |
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