Kulikov, Vik. S. Fundamental groups of the complements to codimension 2 submanifolds of sphere. (English. Russian original) Zbl 0988.57001 Grigorchuk, R. I. (ed.), Dynamical systems, automata, and infinite groups. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodica Publishing, Proc. Steklov Inst. Math. 231, 271-280 (2000); translation from Tr. Mat. Inst. Steklova 231, 284-293 (2000). Summary: A purely 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.For the entire collection see [Zbl 0981.00006]. MSC: 57M05 Fundamental group, presentations, free differential calculus 20F34 Fundamental groups and their automorphisms (group-theoretic aspects) 55Q52 Homotopy groups of special spaces 57M25 Knots and links in the \(3\)-sphere (MSC2010) Keywords:Wirtinger presentation; knot groups PDFBibTeX XMLCite \textit{Vik. S. Kulikov}, in: Dynamical systems, automata, and infinite groups. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodica Publishing. 271--280 (2000; Zbl 0988.57001); translation from Tr. Mat. Inst. Steklova 231, 284--293 (2000)