Geodesic
On a~covering group theorem and its applications
Lobachevskii journal of mathematics, Tome 10 (2002), pp. 9-16

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Let $p\colon X\to G$ be an n-fold covering of a compact group $G$ by a connected topological space $X$ Then there exists a group structure in $X$ turning $p$ into a homomorphism between compact groups. As an application, we describe all $n$-fold coverings of a compact connected abelian group. Also, a criterion of triviality for $n$-fold coverings in terms of the dual group and the one-dimensional Čech cohomology group is obtained.
Keywords: $n$-fold coverings of compact groups, covering groups, algebraic coverings, criterion of triviality forfunction $n$-fold coverings, dual group, onedimensional Čech cohomology group, algebraic equations with coefficients in function algebras. 
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     title = {On a~covering group theorem and its applications},
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S. A. Grigoryan; R. N. Gumerov. On a~covering group theorem and its applications. Lobachevskii journal of mathematics, Tome 10 (2002), pp. 9-16. http://geodesic.mathdoc.fr/item/LJM_2002_10_a1/