Geodesic
A~geometric realization of~$C$-groups
Izvestiya. Mathematics , Tome 45 (1995) no. 1, pp. 197-206.

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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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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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