Silveira, Danilo Sanção da2022-09-152022-09-152020SILVEIRA, D. S. da. On residually finite groups satisfying an Engel type identity. Monatshefte fur Mathematik, v. 193, p. 171-176, 2020. Disponível em: <https://link.springer.com/article/10.1007/s00605-020-01390-y>. Acesso em: 29 abr. 2022.1436-5081http://www.repositorio.ufop.br/jspui/handle/123456789/15297Let n, q be positive integers. We show that if G is a finitely generated residually finite group satisfying the identity [x,n yq ] ≡ 1, then there exists a function f (n) such that G has a nilpotent subgroup of finite index of class at most f (n). We also extend this result to locally graded groups.en-USrestritoEngel elementEngel groupsLocally graded groupsLie algebrasArtigo publicado em periodicohttps://link.springer.com/article/10.1007/s00605-020-01390-yhttps://doi.org/10.1007/s00605-020-01390-y