Generalized torsion elements in the knot groups of twist knots

Masakazu Teragaito

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arXiv · 1505.01590

Generalized torsion elements in the knot groups of twist knots

Masakazu Teragaito

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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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Masakazu Teragaito. 2015-05-07. Generalized torsion elements in the knot groups of twist knots. https://arxiv.org/abs/1505.01590

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