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Mathematics of the USSR-Sbornik, 1990, Volume 66, Issue 2, Pages 541–553
DOI: https://doi.org/10.1070/SM1990v066n02ABEH001184 (Mi sm2990) 		 
This article is cited in 30 scientific papers (total in 30 papers)

An imbedding theorem for groups and its corollaries

V. N. Obraztsov
English version PDF (784 kB) Citations (30)
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DOI: https://doi.org/10.1070/SM1990v066n02ABEH001184
Abstract: An “economical” imbedding theorem is proved for at most a denumerable set of groups of finite or denumerable cardinality without involution in a group with “few” subgroups. This result is used to solve a series of problems about groups satisfying the descending chain condition for subgroups; in particular, a nondenumerable group with this condition is constructed.
Bibliography: 20 titles.
Received: 05.02.1988
Russian version:
Matematicheskii Sbornik, 1989, Volume 180, Number 4, Pages 529–541
Bibliographic databases:
UDC: 512.543
MSC: Primary 20E32; Secondary 20E06
Language: English
Original paper language: Russian
Citation: V. N. Obraztsov, “An imbedding theorem for groups and its corollaries”, Mat. Sb., 180:4 (1989), 529–541; Math. USSR-Sb., 66:2 (1990), 541–553
Citation in format AMSBIB
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\by V.~N.~Obraztsov
\paper An imbedding theorem for groups and its corollaries
\jour Mat. Sb.
\yr 1989
\vol 180
\issue 4
\pages 529--541
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=997899}
\zmath{https://zbmath.org/?q=an:0685.20030|0698.20021}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 66
\issue 2
\pages 541--553
\crossref{https://doi.org/10.1070/SM1990v066n02ABEH001184}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990DY49300015}
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  • https://doi.org/10.1070/SM1990v066n02ABEH001184
  • https://www.mathnet.ru/eng/sm/v180/i4/p529
    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:535
    Russian version PDF:153
    English version PDF:15
    References:55
    First page:1
     
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