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Alexander polynomials of doubly primitive knots |
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| Authors: | Kazuhiro Ichihara Toshio Saito Masakazu Teragaito |
| Institution: | College of General Education, Osaka Sangyo University, Nakagaito 3-1-1, Daito, Osaka 574-8530, Japan ; Graduate School of Humanities and Sciences, Nara Women's University, Kitauoyanishi-machi, Nara 630-8506, Japan ; Department of Mathematics and Mathematics Education, Hiroshima University, Kagamiyama 1-1-1, Higashi-hiroshima, Japan 739-8524. |
| Abstract: | We give a formula for Alexander polynomials of doubly primitive knots. This also gives a practical algorithm to determine the genus of any doubly primitive knot. |
| Keywords: | Doubly primitive knot Alexander polynomial |
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