On the Engel problem
Sbornik. Mathematics, Tome 52 (1985) no. 1, pp. 53-62
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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.
@article{SM_1985_52_1_a3,
author = {S. P. Mishchenko},
title = {On the {Engel} problem},
journal = {Sbornik. Mathematics},
pages = {53--62},
publisher = {mathdoc},
volume = {52},
number = {1},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1985_52_1_a3/}
}
S. P. Mishchenko. On the Engel problem. Sbornik. Mathematics, Tome 52 (1985) no. 1, pp. 53-62. http://geodesic.mathdoc.fr/item/SM_1985_52_1_a3/