Generalized torsion elements in the knot groups of twist knots

2015/05/07 by Teragaito, Masakazu
#06F15 #57M05 #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1505.01590

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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