On compact groups with Engel-like conditions

Bastos Júnior, Raimundo de Araújo; Silveira, Danilo Sanção da

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Campo DC	Valor	Idioma
dc.contributor.author	Bastos Júnior, Raimundo de Araújo	-
dc.contributor.author	Silveira, Danilo Sanção da	-
dc.date.accessioned	2024-07-05T10:39:46Z	-
dc.date.available	2024-07-05T10:39:46Z	-
dc.date.issued	2023-05-16	-
dc.identifier.citation	BASTOS JÚNIOR, Raimundo de Araújo; SILVEIRA, Dnailo. On compact groups with Engel-like conditions. Communications in Algebra, [S. l.], v. 51, n. 10, 2023. DOI: https://doi.org/10.1080/00927872.2023.2211171.	pt_BR
dc.identifier.uri	http://repositorio2.unb.br/jspui/handle/10482/48565	-
dc.language.iso	eng	pt_BR
dc.publisher	Taylor & Francis	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.title	On compact groups with Engel-like conditions	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Grupos compactos	pt_BR
dc.subject.keyword	Elementos Engel	pt_BR
dc.subject.keyword	Grupos profinitos	pt_BR
dc.identifier.doi	https://doi.org/10.1080/00927872.2023.2211171	pt_BR
dc.relation.publisherversion	https://www.tandfonline.com/doi/full/10.1080/00927872.2023.2211171	pt_BR
dc.description.abstract1	Let G be a compact Hausdorff group. We show that if for every element x∈G there exists a positive integer q=q(x) such that xq is Engel, then G is locally virtually nilpotent. Furthermore, we show that if G is a finitely generated compact Hausdorff group in which any commutator [x,y] in G is Engel, then the commutator subgroup G′ is locally nilpotent.	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidade Federal de Ouro Preto, Departamento de Ciências Exatas e Aplicadas	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
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