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Cable knots and infinite necklaces of knots

Published online by Cambridge University Press:  17 April 2009

Siegfried Moran
Siegfried Moran
Affiliation:
Institute of MathematicsThe University of KentCanterbury Kent CT2 7NF, United Kingdom
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Abstract

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The group of an arbitrary companion knot is determined using the theory of braids. This seems to be a new result as far as the resulting group is concerned. The latter part of the paper considers infinite necklaces of knots, their groups and in special cases their Alexander power series.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 1 , February 1995 , pp. 17 - 31
Copyright
Copyright © Australian Mathematical Society 1995

References

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