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Mathematics of the USSR-Sbornik, 1985, Volume 52, Issue 1, Pages 53–62
DOI: https://doi.org/10.1070/SM1985v052n01ABEH002877 (Mi sm2040) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On the Engel problem

S. P. Mishchenko
English version PDF (724 kB) Citations (12)
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DOI: https://doi.org/10.1070/SM1985v052n01ABEH002877
Abstract: It is shown that a variety of Lie algebras over a field of characteristic zero satisfying an Engel condition of bounded index and for which the growth of the codimensions of the verbal ideal is at most exponential is nilpotent.
Bibliography: 8 titles.
Received: 28.01.1983
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1984, Volume 124(166), Number 1(5), Pages 56–67
Bibliographic databases:
UDC: 519.4
MSC: Primary 17B65; Secondary 17B30
Language: English
Original paper language: Russian
Citation: S. P. Mishchenko, “On the Engel problem”, Mat. Sb. (N.S.), 124(166):1(5) (1984), 56–67; Math. USSR-Sb., 52:1 (1985), 53–62
Citation in format AMSBIB
\Bibitem{Mis84}
\by S.~P.~Mishchenko
\paper On the Engel problem
\jour Mat. Sb. (N.S.)
\yr 1984
\vol 124(166)
\issue 1(5)
\pages 56--67
\mathnet{http://mi.mathnet.ru/sm2040}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=743057}
\zmath{https://zbmath.org/?q=an:0572.17012|0546.17004}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 52
\issue 1
\pages 53--62
\crossref{https://doi.org/10.1070/SM1985v052n01ABEH002877}
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  • https://www.mathnet.ru/eng/sm/v166/i1/p56
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:273
    Russian version PDF:90
    English version PDF:5
    References:33
    First page:1
     
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