2014-07-292011-06-022011-04-25CARVALHO, Lucimeire Alves de. Nilpotency Conditions for Locally Finite Groups of Prime Exponet p and (p-1)-Engel Lie Álgebra of Characteristic p (ou 0). 2011. 75 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2011.http://repositorio.bc.ufg.br/tede/handle/tde/1940Let P be a locally finite group of prime exponent p, admitting a finite soluble automorphism group G of order n coprime to p. In this work we study the influence of the centralizers of the automorphisms in G on the structure of P. In this sense we show that if CP(G), the subgroup of fixed points is soluble of derived length d, then P is nilpotent of class bounded in terms of p, n and d. It will be also shown that if a (p-1)-Engel Lie algebra L of characteristic p (or 0) admits a finite soluble automorphism group G of order n coprime to the characteristic of L, such that CL(G), the subalgebra of fixed points, is soluble of derived length d, then the Lie algebra L is nilpotent of class bounded in terms of p, n and d.application/pdfAcesso Abertoálgebras de Lieálgebras de Lie (p-1)-Engelanel de Lie associado a um grupoautomorfismos coprimoscentralizadores de automorfismos coprimos.Lie algebras(p-1)-Engel Lie algebraassociated Lie ring of a groupcoprime automorphismscentralizers of coprime automorphisms.1. Álgebras de Lie 2.Álgebras de Lie (p-1)-Engel 3. Automorfismos coprimos 4. Centralizadores de automorfismos 5. Anel de Lie associado a um grupoCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRADissertação