On residually finite groups satisfying an Engel type identity.
dc.contributor.author | Silveira, Danilo Sanção da | |
dc.date.accessioned | 2022-09-15T18:23:21Z | |
dc.date.available | 2022-09-15T18:23:21Z | |
dc.date.issued | 2020 | pt_BR |
dc.description.abstract | Let 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.citation | SILVEIRA, 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.doi | https://doi.org/10.1007/s00605-020-01390-y | pt_BR |
dc.identifier.issn | 1436-5081 | |
dc.identifier.uri | http://www.repositorio.ufop.br/jspui/handle/123456789/15297 | |
dc.identifier.uri2 | https://link.springer.com/article/10.1007/s00605-020-01390-y | pt_BR |
dc.language.iso | en_US | pt_BR |
dc.rights | restrito | pt_BR |
dc.subject | Engel element | pt_BR |
dc.subject | Engel groups | pt_BR |
dc.subject | Locally graded groups | pt_BR |
dc.subject | Lie algebras | pt_BR |
dc.title | On residually finite groups satisfying an Engel type identity. | pt_BR |
dc.type | Artigo publicado em periodico | pt_BR |
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