Profinite groups with restricted centralizers of π-elements

Acciarri, Cristina; Shumyatsky, Pavel

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Campo DC	Valor	Idioma
dc.contributor.author	Acciarri, Cristina	-
dc.contributor.author	Shumyatsky, Pavel	-
dc.date.accessioned	2022-02-03T19:19:44Z	-
dc.date.available	2022-02-03T19:19:44Z	-
dc.date.issued	2022-01-07	-
dc.identifier.citation	ACCIARRI, Cristina, SHUMYATSKY, Pavel. Profinite groups with restricted centralizers of π-elements. Mathematische Zeitschrift, 2022. DOI: https://doi.org/10.1007/s00209-021-02955-9.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/42816	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Profinite groups with restricted centralizers of π-elements	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Grupos profinitos	pt_BR
dc.subject.keyword	π-elementos	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00209-021-02955-9	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007%2Fs00209-021-02955-9	pt_BR
dc.description.abstract1	A 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.	pt_BR
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