Bounded Engel elements in residually finite groups satisfying an identity.
| dc.contributor.author | Bastos Júnior, Raimundo de Araújo | |
| dc.contributor.author | Silveira, Danilo Sanção da | |
| dc.date.accessioned | 2022-09-15T18:27:05Z | |
| dc.date.available | 2022-09-15T18:27:05Z | |
| dc.date.issued | 2021 | pt_BR |
| dc.description.abstract | Let 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.citation | BASTOS 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.doi | https://doi.org/10.1080/00927872.2021.1877295 | pt_BR |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.uri | http://www.repositorio.ufop.br/jspui/handle/123456789/15298 | |
| dc.identifier.uri2 | https://www.tandfonline.com/doi/abs/10 | pt_BR |
| dc.language.iso | en_US | pt_BR |
| dc.rights | restrito | pt_BR |
| dc.subject | Lie algebras | pt_BR |
| dc.title | Bounded Engel elements in residually finite groups satisfying an identity. | pt_BR |
| dc.type | Artigo publicado em periodico | pt_BR |
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