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dc.contributor.authorAzevedo, João-
dc.contributor.authorShumyatsky, Pavel-
dc.date.accessioned2022-02-11T21:10:45Z-
dc.date.available2022-02-11T21:10:45Z-
dc.date.issued2021-
dc.identifier.citationAZEVEDO, João; SHUMYATSKY, Pavel. On finiteness of some verbal subgroups in profinite groups, Journal of Algebra, v . 574, p. 573-583, 2021. DOI: https://doi.org/10.1016/j.jalgebra.2021.01.032. Disponível em: https://www.sciencedirect.com/science/article/pii/S002186932100065X. Acesso em: 11 fev. 2022.pt_BR
dc.identifier.urihttps://repositorio.unb.br/handle/10482/42863-
dc.language.isoInglêspt_BR
dc.publisherElsevierpt_BR
dc.rightsAcesso Restritopt_BR
dc.titleOn finiteness of some verbal subgroups in profinite groupspt_BR
dc.typeArtigopt_BR
dc.subject.keywordGrupos profinitospt_BR
dc.rights.license© 2021 Published by Elsevier Inc.pt_BR
dc.identifier.doihttps://doi.org/10.1016/j.jalgebra.2021.01.032pt_BR
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S002186932100065X?via%3Dihubpt_BR
dc.description.abstract1Given a group word w and a group G, the set of w-values in G is denoted by and the verbal subgroup is the one generated by . In the present paper we consider profinite groups admitting a word w such that the cardinality of is less than and is generated by finitely many w-values. For several families of words w we show that under these assumptions must be finite. Our results are related to the concept of conciseness of group words.pt_BR
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