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S. A. Grigorian, R. N. Gumerov

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On a covering group theorem and its applications

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*## (Lobachevskii Journal of Mathematics,

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Vol.10, pp.9-16)

Let $p:X\to G$ 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 $\check{C}$ech cohomology group is obtained.

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