Sobre Anéis de Lie Admitindo Automorfismos de Ordens Finitas e Álgebras de Lie Quase Nilpotentes.

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Bibliographic Details
Main Author:	MELO, Emerson Ferreira de
Publication Date:	2011
Format:	Master thesis
Language:	por
Source:	Repositório Institucional da UFG
Download full:	http://repositorio.bc.ufg.br/tede/handle/tde/1938
Summary:	In this work we present a study on Lie rings and algebras admitting an automorphism of finite order. We emphasize questions on nilpotency. We prove important results of this theory, for example the Higman, Kreknin and Kostrikin s Theorem. Furthermore, let L be a finite dimensional Lie algebra over an algebraically closed field of characteristic 0. Suppose that L admits a nilpotent Lie algebra D with n weights in L, and let m be the dimension of the Fitting null component with respect to D. Then L is almost nilpotent, namely, L contains a nilpotent subalgebra N of {m,n}-bounded codimension and of nbounded nilpotency class. If m = 0, then L is nilpotent of bounded class by a function of n. This theorem was published by E. I. Khukhro and P. Shumyatsky in the paper entitled Lie Algebras with Almost Constant-Free Derivations .

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