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Characters and coverings of compact groups

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Abstract

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.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    R. N. Gumerov

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  1. R. N. Gumerov
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Correspondence to R. N. Gumerov.

Additional information

Original Russian Text © R.N. Gumerov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 4, pp. 11–17.

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Gumerov, R.N. Characters and coverings of compact groups. Russ Math. 58, 7–13 (2014). https://doi.org/10.3103/S1066369X14040021

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  • DOI: https://doi.org/10.3103/S1066369X14040021

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