Geodesic
A geometric realization of $C$-groups
Izvestiya. Mathematics, Tome 45 (1995) no. 1, pp. 197-206 
Vik. S. Kulikov. A geometric realization of $C$-groups. Izvestiya. Mathematics, Tome 45 (1995) no. 1, pp. 197-206. http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that for each $C$-group $G$ and each $n\geqslant 2$ there exists an $n$-dimensional compact orientable manifold without boundary $X_n\subset S^{n+2}$ such that $\pi_1(S^{n+2}\setminus X_n)\simeq G$. Furthermore, the well-known representation of Riemann surfaces ($(n=2)$) as a union of finitely many copies of the Riemann sphere with slits glued together is generalized to the $n$-dimensional case.

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