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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 4, Pages 11–17 (Mi ivm8884)  
This article is cited in 11 scientific papers (total in 11 papers)

Characters and coverings of compact groups

R. N. Gumerov

Chair of Mathematical Analysis, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (179 kB) Citations (11)
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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.
Keywords: compact connected abelian group, character of a compact group, finite-sheeted covering mapping, character group, divisible group.
Received: 23.10.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 4, Pages 7–13
DOI: https://doi.org/10.3103/S1066369X14040021
Bibliographic databases:
Document Type: Article
UDC: 515.1+517.986
Language: Russian
Citation: R. N. Gumerov, “Characters and coverings of compact groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 4, 11–17; Russian Math. (Iz. VUZ), 58:4 (2014), 7–13
Citation in format AMSBIB
\Bibitem{Gum14}
\by R.~N.~Gumerov
\paper Characters and coverings of compact groups
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 4
\pages 11--17
\mathnet{http://mi.mathnet.ru/ivm8884}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 4
\pages 7--13
\crossref{https://doi.org/10.3103/S1066369X14040021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899009267}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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