Non-bi-orderability of 6₂ and 7₆
classification
🧮 math.GR
math.GT
keywords
groupsknotappliesbi-orderabilitybi-orderablebroadclasscrossings
read the original abstract
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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