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Alexander polynomials of two-bridge knots

Published online by Cambridge University Press:  09 April 2009

Yasutaka Nakanishi
Affiliation:
Department of MathematicsKobe UniversityNada-kuKobe 657Japan e-mail: [email protected]
Masaki Suketa
Affiliation:
Department of MathematicsKobe UniversityNada-kuKobe 657Japan e-mail: [email protected]
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Abstract

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For two-bridge knots, the authors give necessary conditions on coefficients of Alexander polynomials.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Burde, G., ‘Das Alexanderpolynom der Knoten mit zwei Brücken’, Arch. Math. 44 (1985), 180189.CrossRefGoogle Scholar
[2]Burde, G., ‘Faserbare Knoten mit zwei Brücken’, preprint.Google Scholar
[3]Burde, G. and Zieschang, H., Knots (Gruyter, Berlin, 1985).Google Scholar
[4]Conway, J. H., ‘An enumeration of knots and links, and some of their algebraic properties’, in: Computational problems in abstract algebra (Pergamon Press, Oxford, 1969) pp. 329358.Google Scholar
[5]Hartley, R. I., ‘On two-bridged knot polynomials’, J. Austral Math. Soc. (Ser. A) 28 (1979), 241249.CrossRefGoogle Scholar
[6]Murasugi, K., ‘On the Alexander polynomial of the alternating knot’, Osaka J. Math. 10 (1958), 181189.Google Scholar
[7]Rolfsen, D., Knots and links, Math. Lecture Series 7 (Publish or Perish Inc., Berkeley, 1976).Google Scholar
[8]Schubert, H., ‘Knoten mit zwei Brücken’, Math. Z. 65 (1956), 133170.Google Scholar
[9]Seifert, H., ‘Über das Geschlecht von Knoten’, Math. Ann. 110 (1934), 571592.Google Scholar