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Commensurability classes of 2-bridge knot complements

Alan W. Reid·Genevieve S. Walsh
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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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Alan W. Reid, Genevieve S. Walsh. 2006-12-18. Commensurability classes of 2-bridge knot complements. https://doi.org/10.2140/agt.2008.8.1031

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