Dergiler / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 1
On the Nilpotency Class of Lie Rings With Fixed-Point-Free Automorphisms
- Sayfa
- 65–74
- DOI
- —
Özet
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}.
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}.