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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