Generalized torsion elements in the knot groups of twist knots

Teragaito, Masakazu

doi:10.1090/proc/12864

Generalized torsion elements in the knot groups of twist knots
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by Masakazu Teragaito

Proc. Amer. Math. Soc. 144 (2016), 2677-2682

DOI: https://doi.org/10.1090/proc/12864

Published electronically: September 11, 2015

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Abstract:

It is well known that any knot group is torsion-free, but it may admit a generalized torsion element. We show that the knot group of any negative twist knot admits a generalized torsion element. This is a generalization of the same claim for the knot $5_2$, which is the $(-2)$-twist knot, by Naylor and Rolfsen.

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