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Proceedings of the American Mathematical Society

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

 

 

On a group that cannot be the group of a $ 2$-knot


Author: Kunio Murasugi
Journal: Proc. Amer. Math. Soc. 64 (1977), 154-156
MSC: Primary 55A25
DOI: https://doi.org/10.1090/S0002-9939-1977-0440530-7
MathSciNet review: 0440530
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Abstract: It is proved that a homomorph of the group of trefoil knot cannot be the group of a 2-knot in 4-sphere.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0440530-7
Keywords: n-knot, knot group
Article copyright: © Copyright 1977 American Mathematical Society