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Sbornik: Mathematics, 2006, Volume 197, Issue 1, Pages 1–21
DOI: https://doi.org/10.1070/SM2006v197n01ABEH003743 (Mi sm1493) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On commutativity of connected groups

S. A. Bogatyia, O. D. Frolkinab

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b M. V. Lomonosov Moscow State University
English version PDF (340 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2006v197n01ABEH003743
Abstract: In this paper the question is studied of the possibility of obtaining a converse of the well-known theorem of Scheffer on homotopic representation of a given map of a compact connected group into a locally compact Abelian group by a (unique) homomorphism. Namely, several conditions are found under which the existence of a representing homomorphism (its uniqueness) implies that the group is Abelian.
Bibliography: 43 titles.
Received: 02.12.2004
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 1, Pages 3–24
DOI: https://doi.org/10.4213/sm1493
Bibliographic databases:
UDC: 515.122.4
MSC: Primary 22C05; Secondary 22B05, 54C55, 54C56, 54F15, 55Q05, 57S10, 57T10
Language: English
Original paper language: Russian
Citation: S. A. Bogatyi, O. D. Frolkina, “On commutativity of connected groups”, Mat. Sb., 197:1 (2006), 3–24; Sb. Math., 197:1 (2006), 1–21
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v197/i1/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:19
    References:86
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