Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 2, Pages 5–8 (Mi vmumm4145)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

A solvability criterion for a finite-dimensional Lie algebra

A. I. Kostrikin
Full-text PDF (530 kB) Citations (1)
Abstract: We prove that a finite-dimensional Lie algebra $L$ over an algebraically closed field of characteristic $p>0$ is solvable if $L=A+B$ where $[A,A]=0$, $\dim A<p^2-p$, and $B$ is an arbitrary nilpotent subalgebra. We study some more general situation, too.
Received: 15.10.1981
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: A. I. Kostrikin, “A solvability criterion for a finite-dimensional Lie algebra”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 2, 5–8
Citation in format AMSBIB
\Bibitem{Kos82}
\by A.~I.~Kostrikin
\paper A solvability criterion for a finite-dimensional Lie algebra
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 2
\pages 5--8
\mathnet{http://mi.mathnet.ru/vmumm4145}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0655392}
\zmath{https://zbmath.org/?q=an:0492.17006}
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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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