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Journal of the London Mathematical Society 1987 s2-35(3):551-562; doi:10.1112/jlms/s2-35.3.551
© 1987 by London Mathematical Society
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© Oxford University Press

Meridional Generators and Plat Presentations of Torus Links

Markus Rost and Heiner Zieschang

Fachbereich Mathematik, Universität Regensburg, Universitätsstraße 31, D-8400 Regensburg, Germany
Abteilung für Mathematik, Ruhr-Universität Bochum, Universitätsstraße 150, D-4630 Bochum-Querenburg, Germany

For the torus link t(a, b) the bridge-number and the minimal number of meridional (Wirtinger) generators necessary to generate the knot group coincide and are equal to min (|a|, |b|). Moreover, any two minimal plat presentations of t(a, b) are algebraically equivalent.


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