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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 3, Pages 85–91
DOI: https://doi.org/10.26907/0021-3446-2020-3-85-91 (Mi ivm9554) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

On covering groups

R. N. Gumerov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-3-85-91
Abstract: We study finite-sheeted covering mappings from compact connected spaces onto compact connected groups. For such a covering mapping we consider a method of supplying its covering space by a group structure. The covering space endowed with that group structure is a topological group, and a given covering mapping turns into a homomorphism of compact connected groups.
Keywords: compact connected group, covering group, covering space, continuous homomorphism, finite-sheeted covering mapping, topological space.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 1.13556.2019/13.1
Received: 15.12.2019
Revised: 15.12.2019
Accepted: 18.12.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 3, Pages 76–81
DOI: https://doi.org/10.3103/S1066369X20030081
Bibliographic databases:
Document Type: Article
UDC: 515.1:517.986
Language: Russian
Citation: R. N. Gumerov, “On covering groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 3, 85–91; Russian Math. (Iz. VUZ), 64:3 (2020), 76–81
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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