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In mathematics, especially in group theory, a Wirtinger presentation is a finite presentation where the relations are of the form w g i w − 1 = g j {\displaystyle wg_{i}w^{-1}=g_{j}} where w {\displaystyle w} is a word in the generators, { g 1 , g 2 , … , g k } . {\displaystyle \{g_{1},g_{2},\ldots ,g_{k}\}.} Wilhelm Wirtinger observed that the complements of knots in 3-space have fundamental groups with presentations of this form.

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