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arxiv: 1512.00372 · v2 · pith:RBARNZDMnew · submitted 2015-12-01 · 🧮 math.GR · math.GT

Non-bi-orderability of 6₂ and 7₆

classification 🧮 math.GR math.GT
keywords groupsknotappliesbi-orderabilitybi-orderablebroadclasscrossings
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We prove that the knot groups of $6_2$ and $7_6$ are not bi-orderable. These are the only two knot groups up to 7 crossings whose bi-orderability was not known. Our method applies to a very broad class of knots.

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