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A problem in lie rings
Published online by Cambridge University Press: 18 May 2009
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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.
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- Copyright © Glasgow Mathematical Journal Trust 1980
References
REFERENCES
1.Gruenberg, K. W., Two theorems on Engel groups, Proc. Cambridge Philos. Soc. 49 (1953), 377–380.CrossRefGoogle Scholar
2.Kostrikin, A. I., On Burnside's Problem, Izv. Akad. Nauk. SSSR. Ser. Mat. 23 (1959), 3–34.Google Scholar
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