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On groups associated to a knot

Published online by Cambridge University Press:  24 October 2008

B. Zimmermann
B. Zimmermann
Affiliation:
Universitá degli Studi di Trieste, Dipartimento di Scienze Matematiche, 34100 Trieste, Italy
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Let K be a knot in the 3-sphere S3; let m be a meridian and 1 a longitude of K. In [1] we gave a detailed study of the ‘π-orbifold group’ O(K): π1(S3\K)/〈m2〉 of the knot, where 〈m2〉 is the subgroup normally generated by the square of the meridian. In particular, we found out to what extent the π-orbifold group classifies knots (and links) and determines the symmetry group of a knot. In the present paper, we consider the groups Gn(K): = π1(S3\K)/〈ln〉. Our main results are the following.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 109 , Issue 1 , January 1991 , pp. 79 - 82
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

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