Bounded Engel elements in residually finite groups satisfying an identity.

dc.contributor.authorBastos Júnior, Raimundo de Araújo
dc.contributor.authorSilveira, Danilo Sanção da
dc.date.accessioned2022-09-15T18:27:05Z
dc.date.available2022-09-15T18:27:05Z
dc.date.issued2021pt_BR
dc.description.abstractLet G be a m-generator residually finite group. We show that: 1) if every ck-value in G is right n-Engel, then ckðGÞ is s-Engel for some fk, m, ng-bounded number s; 2) if G satisfies an identity w 1 and G can be generated by a commutator-closed set of left n-Engel elements, then G has {m, n, w}-bounded class. 3) if G has a specific generating set X in which some power of each element in X is a bounded left Engel, then G is virtu- ally nilpotent.pt_BR
dc.identifier.citationBASTOS JÚNIOR, R. de A.; SILVEIRA, D. S. da. Bounded Engel elements in residually finite groups satisfying an identity. Communications in Algebra, v. 49, n. 6, p. 2556–2562, 2021. Disponível em: <https://www.tandfonline.com/doi/abs/10.1080/00927872.2021.1877295?journalCode=lagb20>. Acesso em: 29 abr. 2022.pt_BR
dc.identifier.doihttps://doi.org/10.1080/00927872.2021.1877295pt_BR
dc.identifier.issn1532-4125
dc.identifier.urihttp://www.repositorio.ufop.br/jspui/handle/123456789/15298
dc.identifier.uri2https://www.tandfonline.com/doi/abs/10pt_BR
dc.language.isoen_USpt_BR
dc.rightsrestritopt_BR
dc.subjectLie algebraspt_BR
dc.titleBounded Engel elements in residually finite groups satisfying an identity.pt_BR
dc.typeArtigo publicado em periodicopt_BR
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