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arXiv · 1410.5774

Testing bi-orderability of knot groups

Adam Clay·Colin Desmarais·Patrick Naylor
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Abstract

We investigate the bi-orderability of two-bridge knot groups and the groups of knots with 12 or fewer crossings by applying recent theorems of Chiswell, Glass and Wilson. Amongst all knots with 12 or fewer crossings (of which there are 2977), previous theorems were only able to determine bi-orderability of 599 of the corresponding knot groups. With our methods we are able to deal with 191 more.

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Adam Clay, Colin Desmarais, Patrick Naylor. 2014-10-21. Testing bi-orderability of knot groups. https://doi.org/10.4153/cmb-2016-023-6

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