Turkish Journal of Mathematics
DOI
-
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
First Page
65
Last Page
74
Recommended Citation
SHUMYATSKY, PAVEL (2005) "On the Nilpotency Class of Lie Rings With Fixed-Point-Free Automorphisms," Turkish Journal of Mathematics: Vol. 29: No. 1, Article 6. Available at: https://journals.tubitak.gov.tr/math/vol29/iss1/6
