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ON KILLERS OF CABLE KNOT GROUPS

Part of: Low-dimensional topology

Published online by Cambridge University Press:  06 February 2017

EDERSON R. F. DUTRA
EDERSON R. F. DUTRA*
Affiliation:
Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn Str. 4, 24098 Kiel, Germany email [email protected]
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Abstract

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A killer of a group $G$ is an element that normally generates $G$. We show that the group of a cable knot contains infinitely many killers such that no two lie in the same automorphic orbit.

Keywords

knotkillercable knot group

MSC classification

Primary: 57M25: Knots and links in $S^3$
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 96 , Issue 1 , August 2017 , pp. 171 - 176
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

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