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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Nonalgebraic killers of knot groups


Author: Chichen M. Tsau
Journal: Proc. Amer. Math. Soc. 95 (1985), 139-146
MSC: Primary 57M05; Secondary 57M25
DOI: https://doi.org/10.1090/S0002-9939-1985-0796463-4
MathSciNet review: 796463
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Abstract: We show that a knot exists with the property that there exists a killer of the knot group which is not the image of the meridian under any automorphism.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0796463-4
Keywords: Knot manifold, knot group, presentation, automorphism of knot group, satellite knot, winding number, wrapping number, incompressible surface, essential map of annulus
Article copyright: © Copyright 1985 American Mathematical Society