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arXiv · 1409.5730

Generalized torsion in knot groups

Geoff Naylor·Dale Rolfsen
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Abstract

We show that for many classical knots one can find generalized torsion in the fundamental group of its complement, commonly called the knot group. It follows that such a group is not bi-orderable. Examples include all torus knots, the (hyperbolic) knot $5_2$ and satellites of these knots.

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Geoff Naylor, Dale Rolfsen. 2014-09-19. Generalized torsion in knot groups. https://doi.org/10.4153/cmb-2015-004-4

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