Commensurability classes of 2-bridge knot complements
Alan W. Reid, Genevieve S. Walsh
Abstract
We show that a hyperbolic 2-bridge knot complement is the unique knot complement in its commensurability class. We also discuss constructions of commensurable hyperbolic knot complements and put forth a conjecture on the number of hyperbolic knot complements in a commensurability class.
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