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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Item Status: | Live Archive |

## 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 |
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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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