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Alexander polynomials of doubly primitive knots
Author(s):
Kazuhiro
Ichihara;
Toshio
Saito;
Masakazu
Teragaito
Journal:
Proc. Amer. Math. Soc.
135
(2007),
605-615.
MSC (2000):
Primary 57M25
Posted:
August 10, 2006
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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.
References:
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Additional Information:
Kazuhiro
Ichihara
Affiliation:
College of General Education, Osaka Sangyo University, Nakagaito 3-1-1, Daito, Osaka 574-8530, Japan
Email:
ichihara@las.osaka-sandai.ac.jp
Toshio
Saito
Affiliation:
Graduate School of Humanities and Sciences, Nara Women's University, Kitauoyanishi-machi, Nara 630-8506, Japan
Email:
tsaito@cc.nara-wu.ac.jp
Masakazu
Teragaito
Affiliation:
Department of Mathematics and Mathematics Education, Hiroshima University, Kagamiyama 1-1-1, Higashi-hiroshima, Japan 739-8524.
Email:
teragai@hiroshima-u.ac.jp
DOI:
10.1090/S0002-9939-06-08496-6
PII:
S 0002-9939(06)08496-6
Keywords:
Doubly primitive knot,
Alexander polynomial
Received by editor(s):
June 21, 2005
Received by editor(s) in revised form:
September 13, 2005
Posted:
August 10, 2006
Additional Notes:
The second author was supported by the 21st Century COE program \lq\lq Towards a New Basic Science; Depth and Synthesis\rq\rq, Osaka University.
The third author was partially supported by the Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C), 16540071.
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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