Pavel SHUMYATSKY

6787

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

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}.
Anahtar Kelimeler:

automorphisms, Lie rings

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

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,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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