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I would like a reference for a proof that the Dehn presentation is a presentation of the fundamental group of the knot complement in $\mathbb{S}^{3} $.

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Double-post:… – Ryan Budney Dec 26 '12 at 4:02
@dwjo8d: When you post such a question you should explain what Dehn presentation of the knot group is, what did you try to find out why it works, e.g., checked books like Crowell-Fox, Rolfsen, Burde-Zieschang, tried to google "Dehn presentation+knot group" etc. Also, avoid double posting on MO and math.stackexchange. – Misha Dec 26 '12 at 4:44
up vote 4 down vote accepted

L.P. Neuwirth, Knot Groups, Annals of Mathematics Studies, Princeton University Press, 1965.

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