A problem in lie rings
Glasgow mathematical journal, Tome 21 (1980) no. 2, pp. 139-142
Voir la notice de l'article provenant de la source Cambridge University Press
An important step in the proof of Kostrikin's fundamental theorem [2] on finite groups of prime exponent is the following result.Theorem 1. Let L be a Lie algebra of characteristic p satisfying the t-th Engel condition for some t < p, and suppose that L is generated by elements that are right-Engel of length 2. Then L is locally nilpotent.
Wiegold, James. A problem in lie rings. Glasgow mathematical journal, Tome 21 (1980) no. 2, pp. 139-142. doi: 10.1017/S0017089500004286
@article{10_1017_S0017089500004286,
author = {Wiegold, James},
title = {A problem in lie rings},
journal = {Glasgow mathematical journal},
pages = {139--142},
year = {1980},
volume = {21},
number = {2},
doi = {10.1017/S0017089500004286},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500004286/}
}
[1] 1.Gruenberg, K. W., Two theorems on Engel groups, Proc. Cambridge Philos. Soc. 49 (1953), 377–380. Google Scholar | DOI
[2] 2.Kostrikin, A. I., On Burnside's Problem, Izv. Akad. Nauk. SSSR. Ser. Mat. 23 (1959), 3–34. Google Scholar
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