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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) Russian version article
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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
Bibliographic databases:
UDC: 519.4
MSC: Primary 17B65; Secondary 17B30
Language: English
Original paper language: Russian
Citation: S. P. Mishchenko, “On the Engel problem”, Math. USSR-Sb., 52:1 (1985), 53–62
Citation in format AMSBIB
\Bibitem{Mis84}
\by S.~P.~Mishchenko
\paper On the Engel problem
\jour Math. USSR-Sb.
\yr 1985
\vol 52
\issue 1
\pages 53--62
\mathnet{http://mi.mathnet.ru/eng/sm2040}
\crossref{https://doi.org/10.1070/SM1985v052n01ABEH002877}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=743057}
\zmath{https://zbmath.org/?q=an:0572.17012|0546.17004}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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