Profinite groups with restricted centralizers of π-elements

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorAcciarri, Cristina-
Autor(es): dc.creatorShumyatsky, Pavel-
Data de aceite: dc.date.accessioned2022-02-10T21:10:51Z-
Data de disponibilização: dc.date.available2022-02-10T21:10:51Z-
Data de envio: dc.date.issued2022-02-02-
Data de envio: dc.date.issued2022-02-02-
Data de envio: dc.date.issued2022-01-06-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/42816-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s00209-021-02955-9-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/647188-
Descrição: dc.descriptionA group G is said to have restricted centralizers if for each g in G the centralizer CG(g) either is finite or has finite index in G. Shalev showed that a profinite group with restricted centralizers is virtually abelian. Given a set of primes π, we take interest in profinite groups with restricted centralizers of π-elements. It is shown that such a profinite group has an open subgroup of the form P×Q, where P is an abelian pro-π subgroup and Q is a pro-π′ subgroup. This significantly strengthens a result from our earlier paper.-
Publicador: dc.publisherSpringer-
Relação: dc.relationhttps://link.springer.com/article/10.1007%2Fs00209-021-02955-9-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectGrupos profinitos-
Palavras-chave: dc.subjectπ-elementos-
Título: dc.titleProfinite groups with restricted centralizers of π-elements-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional – UNB

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