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Knot modules and the Nakanishi index

Kearton, C.; Wilson, S.M.J.

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Authors

C. Kearton

S.M.J. Wilson



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.

Citation

Kearton, C., & Wilson, S. (2003). Knot modules and the Nakanishi index. Proceedings of the American Mathematical Society, 131(2), 655-663

Journal Article Type Article
Publication Date Jun 1, 2003
Deposit Date Aug 27, 2008
Publicly Available Date Aug 27, 2008
Journal Proceedings of the American Mathematical Society
Print ISSN 0002-9939
Electronic ISSN 1088-6826
Publisher American Mathematical Society
Peer Reviewed Peer Reviewed
Volume 131
Issue 2
Pages 655-663
Keywords Knot module, Nakanishi index, Fox-Smythe, Row class.
Publisher URL http://www.ams.org/proc/2003-131-02/S0002-9939-02-06582-6/home.html

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Copyright Statement
First published in Proceedings of the American Mathematical Society, 131 (2) 2003, published by the American Mathematical Society




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