On residually finite groups satisfying an Engel type identity.

dc.contributor.authorSilveira, Danilo Sanção da
dc.date.accessioned2022-09-15T18:23:21Z
dc.date.available2022-09-15T18:23:21Z
dc.date.issued2020pt_BR
dc.description.abstractLet 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.pt_BR
dc.identifier.citationSILVEIRA, 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.pt_BR
dc.identifier.doihttps://doi.org/10.1007/s00605-020-01390-ypt_BR
dc.identifier.issn1436-5081
dc.identifier.urihttp://www.repositorio.ufop.br/jspui/handle/123456789/15297
dc.identifier.uri2https://link.springer.com/article/10.1007/s00605-020-01390-ypt_BR
dc.language.isoen_USpt_BR
dc.rightsrestritopt_BR
dc.subjectEngel elementpt_BR
dc.subjectEngel groupspt_BR
dc.subjectLocally graded groupspt_BR
dc.subjectLie algebraspt_BR
dc.titleOn residually finite groups satisfying an Engel type identity.pt_BR
dc.typeArtigo publicado em periodicopt_BR
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