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}.

DOI

Keywords

automorphisms, Lie rings

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Recommended Citation

SHUMYATSKY, P (2005). On the Nilpotency Class of Lie Rings With Fixed-Point-Free Automorphisms. Turkish Journal of Mathematics 29 (1): 65-74. https://doi.org/-

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