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

Authors: PAVEL SHUMYATSKY

Abstract: Let L be a solvable Lie ring with derived length s. Assume that L admits an automorphism \phi of prime order p\geq 11 such that C_L(\phi)=0. It is proved that the class of L is less than \frac{(p-2)^{s+1}}{(p-3)^2}.

Keywords: automorphisms, Lie rings

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