Geodesic
Testing Bi-orderability of Knot Groups
Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 472-482

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DOI

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 499 of the corresponding knot groups. With our methods we are able to deal with 191 more.
DOI : 10.4153/CMB-2016-023-6
Mots-clés : 57M25, 57M27, 06F15, knots, fundamental groups, orderable groups 
Clay, Adam; Desmarais, Colin; Naylor, Patrick. Testing Bi-orderability of Knot Groups. Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 472-482. doi: 10.4153/CMB-2016-023-6
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     title = {Testing {Bi-orderability} of {Knot} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {472--482},
     year = {2016},
     volume = {59},
     number = {3},
     doi = {10.4153/CMB-2016-023-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-023-6/}
}
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