Generalized torsion elements in the knot groups of twist knots
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 52, which is the (-2)-twist knot, by Naylor and Rolfsen.
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