Kulikov, Vik. S. A geometric realization of \(C\)-groups. (English. Russian original) Zbl 0842.57018 Russ. Acad. Sci., Izv., Math. 45, No. 1, 197-206 (1995); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 4, 194-203 (1994). The author proves that for any \(C\)-group \(G\) and for any \(n \geq 2\) there exists a non-singular \(n\)-dimensional compact orientable manifold without boundary \(X_n \subset S^{n + 2}\), such that \(\pi_1(S^{n + 2} \setminus X_n) \approx G\). Moreover, the author generalizes to the \(n\)-dimensional case the known representations of Riemannian surfaces \((n =2)\) in the form of a finite number of pasted Riemann spheres with cuts. Reviewer: N.Papaghiuc (Iaşi) Cited in 1 Document MSC: 57Q45 Knots and links in high dimensions (PL-topology) (MSC2010) Keywords:fundamental group; complement of manifolds PDFBibTeX XMLCite \textit{Vik. S. Kulikov}, Russ. Acad. Sci., Izv., Math. 45, No. 1, 194--203 (1994; Zbl 0842.57018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 4, 194--203 (1994) Full Text: DOI