Geodesic
Characters and coverings of compact groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2014), pp. 11-17.

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We consider characters and finite-sheeted coverings of compact connected abelian groups and prove analytic and algebraic properties of characters. As an application of these results, we show that the character group of a compact connected abelian group with trivial finite-sheeted coverings is divisible.
Keywords: compact connected abelian group, character of a compact group, finite-sheeted covering mapping, character group
Mots-clés : divisible group. 
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R. N. Gumerov. Characters and coverings of compact groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2014), pp. 11-17. http://geodesic.mathdoc.fr/item/IVM_2014_4_a1/

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