On finiteness of some verbal subgroups in profinite groups

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorAzevedo, João-
Autor(es): dc.creatorShumyatsky, Pavel-
Data de aceite: dc.date.accessioned2022-02-21T19:47:37Z-
Data de disponibilização: dc.date.available2022-02-21T19:47:37Z-
Data de envio: dc.date.issued2022-02-10-
Data de envio: dc.date.issued2022-02-10-
Data de envio: dc.date.issued2020-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/42863-
Fonte completa do material: dc.identifierhttps://doi.org/10.1016/j.jalgebra.2021.01.032-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/649884-
Descrição: dc.descriptionGiven 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.-
Publicador: dc.publisherElsevier-
Relação: dc.relationhttps://www.sciencedirect.com/science/article/abs/pii/S002186932100065X?via%3Dihub-
Direitos: dc.rightsAcesso Restrito-
Direitos: dc.rights© 2021 Published by Elsevier Inc.-
Palavras-chave: dc.subjectGrupos profinitos-
Título: dc.titleOn finiteness of some verbal subgroups in profinite groups-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional – UNB

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