On finiteness of some verbal subgroups in profinite groups

Azevedo, João; Shumyatsky, Pavel

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Campo DC	Valor	Lengua/Idioma
dc.contributor.author	Azevedo, João	-
dc.contributor.author	Shumyatsky, Pavel	-
dc.date.accessioned	2022-02-11T21:10:45Z	-
dc.date.available	2022-02-11T21:10:45Z	-
dc.date.issued	2021	-
dc.identifier.citation	AZEVEDO, 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.uri	https://repositorio.unb.br/handle/10482/42863	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	On finiteness of some verbal subgroups in profinite groups	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Grupos profinitos	pt_BR
dc.rights.license	© 2021 Published by Elsevier Inc.	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.jalgebra.2021.01.032	pt_BR
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/abs/pii/S002186932100065X?via%3Dihub	pt_BR
dc.description.abstract1	Given 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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