Geodesic
Fundamental Groups of the Complements to Codimension~2 Submanifolds of Sphere
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Dynamical systems, automata, and infinite groups, Tome 231 (2000), pp. 284-293.

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A pure algebraic description is given for the set of the fundamental groups of the complements of codimension 2 submanifolds in a $k$-dimensional sphere $S^k$, $k\geq 4$. This description is a generalization of the well-known Wirtinger presentation of knot groups to the $k$-dimensional case. 
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Vik. S. Kulikov. Fundamental Groups of the Complements to Codimension~2 Submanifolds of Sphere. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Dynamical systems, automata, and infinite groups, Tome 231 (2000), pp. 284-293. http://geodesic.mathdoc.fr/item/TM_2000_231_a9/

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