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. 
@article{IVM_2014_4_a1,
     author = {R. N. Gumerov},
     title = {Characters and coverings of compact groups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {11--17},
     publisher = {mathdoc},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_4_a1/}
}
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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/