On the Nilpotency Class of Lie Rings With Fixed-Point-Free Automorphisms

Authors : Pavel SHUMYATSKY

Pages : 65-74

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let L be a solvable Lie ring with derived length s. Assume that L admits an automorphism f of prime order p\geq 11 such that CLinsert ignore into journalissuearticles values(f);=0. It is proved that the class of L is less than \frac{insert ignore into journalissuearticles values(p-2);s+1}{insert ignore into journalissuearticles values(p-3);2}.
Keywords : automorphisms, Lie rings