On profinite groups with automorphisms whose fixed points have countable Engel sinks

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorKhukhro, Evgeny I.-
Autor(es): dc.creatorShumyatsky, Pavel-
Data de aceite: dc.date.accessioned2024-10-23T16:08:17Z-
Data de disponibilização: dc.date.available2024-10-23T16:08:17Z-
Data de envio: dc.date.issued2022-02-02-
Data de envio: dc.date.issued2022-02-02-
Data de envio: dc.date.issued2021-12-23-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/42815-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s11856-021-2267-1-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/900716-
Descrição: dc.descriptionAn Engel sink of an element g of a group G is a set E(g) such that for every x ∈ G all sufficiently long commutators [⋯[[x, g], g],…, g] belong to E(g). (Thus, g is an Engel element precisely when we can choose E(g)={1}.) It is proved that if a profinite group G admits an elementary abelian group of automorphisms A of coprime order q2 for a prime q such that for each a ∈ A {1} every element of the centralizer CG(a) has a countable (or finite) Engel sink, then G has a finite normal subgroup N such that G/N is locally nilpotent.-
Publicador: dc.publisherSpringer-
Relação: dc.relationhttps://link.springer.com/article/10.1007/s11856-021-2267-1-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectGrupos profinitos-
Palavras-chave: dc.subjectAutomorfismos-
Palavras-chave: dc.subjectGrupo Engel-
Título: dc.titleOn profinite groups with automorphisms whose fixed points have countable Engel sinks-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional – UNB

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