This article is cited in 12 papers

On the Engel problem

S. P. Mishchenko


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.

UDC: 519.4

MSC: Primary 17B65; Secondary 17B30

Received: 28.01.1983

 English version: Mathematics of the USSR-Sbornik, 1985, 52:1, 53–62

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