- Turkish Journal of Mathematics
- Vol: 29 Issue: 1
- On the Nilpotency Class of Lie Rings With Fixed-Point-Free Automorphisms
On the Nilpotency Class of Lie Rings With Fixed-Point-Free Automorphisms
Authors : Pavel Shumyatsky
Pages : 65-74
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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 CL(f)=0. It is proved that the class of L is less than \frac{(p-2)s+1}{(p-3)2}.Keywords : automorphisms, Lie rings