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On the Nilpotency Class of Lie Rings With Fixed-Point-Free Automorphisms
automorphisms Lie rings
2010/2/26
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...
The Orbit Method for Finite Groups of Nilpotency Class Two of Odd Order
The Orbit Method Finite Groups Nilpotency Class
2010/10/29
First, I construct an isomorphism between the categories of (topological) groups of nilpotency class 2 with 2-divisible center and (topological) Lie rings of nilpotency class 2 with 2-divisible center...