Almost solubility of Lie algebras with a variable limit of integration

Makarenko, N. Y. and Khukhro, E. I. (2004) Almost solubility of Lie algebras with a variable limit of integration. Doklady Akademii Nauk, 393 (1). pp. 18-19. ISSN 0869-5652

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Item Type:Article
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Abstract

Using the method of generalized or graduated centralizers, proved are two theorems with consequences. If Lie algebra accepts automorphism of a finite order n with finite-dimensional fixed-point subalgebra of dimension m, then L possesses solvable subalgebra with degree of solvability bounded from above by a function of n, whose codimension is bounded from above by a function of m and n. As the consequence, given is virtually equivalent formulation in terms of graduated Lie algebras. Also obtained are similar results on Lie rings with almost-regular automorphism having finite number of fixed points. The consequence for Lie graduated rings also has the stronger inference.

Keywords:Computability and decidability, Estimation, Functions, Theorem proving, Automorphisms, Lie algebras, Lie rings, Nil potent groups, Algebra
Subjects:G Mathematical and Computer Sciences > G100 Mathematics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:15605
Deposited On:01 Jan 2016 19:51

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