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

Khukhro, Evgeny I.; Shumyatsky, Pavel

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dc.contributor.author	Khukhro, Evgeny I.	-
dc.contributor.author	Shumyatsky, Pavel	-
dc.date.accessioned	2022-02-03T18:59:00Z	-
dc.date.available	2022-02-03T18:59:00Z	-
dc.date.issued	2021-12-24	-
dc.identifier.citation	KHUKHRO, Evgeny I.; SHUMYATSKY, Pavel. On profinite groups with automorphisms whose fixed points have countable Engel sinks. IIsrael Journal of Mathematics, [S.l.], 2021. DOI: https://doi.org/10.1007/s11856-021-2267-1.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/42815	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	On profinite groups with automorphisms whose fixed points have countable Engel sinks	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Grupos profinitos	pt_BR
dc.subject.keyword	Automorfismos	pt_BR
dc.subject.keyword	Grupo Engel	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s11856-021-2267-1	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s11856-021-2267-1	pt_BR
dc.description.abstract1	An 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.	pt_BR
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