Testing Bi-orderability of Knot Groups

  title={Testing Bi-orderability of Knot Groups},
  author={Adam Clay and Colin Desmarais and Patrick Naylor},
  journal={Canadian Mathematical Bulletin},
  pages={472 - 482}
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 499 of the corresponding knot groups. With our methods we are able to deal with 191 more. 

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Department of Mathematics

Michael C. Cranston, Department Chair 340E Rowland Hall 949-824-7993 http://www.math.uci.edu/ The Department of Mathematics is engaged in teaching and in fundamental research in a wide variety of