2016-09-122016-05-13ARAUJO, Daniel dos Santos. Ação de automorfismos livres de pontos fixos. 2016. 95 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.http://repositorio.bc.ufg.br/tede/handle/tede/6194If a Zn-graded Lie ring L admits a fixed point free automorphism of order n, then L is soluble and the derived length of L is bounded in function only on n. In this work, we study some results about the derived length of the Zn-graded Lie rings and in the particular case that n = 6, we also study properties to the nilpotency class of the lower central series of L. For this, we introduce some basic results of Lie algebras theory and Lie rings, as well preliminary concepts of modules and tensor product. Finally, we study a Lie ring associated to a group once many problems in group theory can be treated by linear methods about Lie algebras and Lie rings.application/pdfAcesso AbertoÁlgebras de LieAnéis de LieGraduaçãoComprimento derivadoClasse de nilpotênciaLie algebrasLie ringsGraduationDerived lengthNilpotency classCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação