Fundamental Groups of the Complements to Codimension 2 Submanifolds of Sphere

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.