Subgroups of pro-p PD3-groups

Castellano, Ilaria; Zalesski, Pavel

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Campo DC	Valor	Idioma
dc.contributor.author	Castellano, Ilaria	-
dc.contributor.author	Zalesski, Pavel	-
dc.date.accessioned	2022-05-24T14:03:21Z	-
dc.date.available	2022-05-24T14:03:21Z	-
dc.date.issued	2021-01-04	-
dc.identifier.citation	CASTELLANO, I.; ZALESSKI, P. Subgroups of pro-p PD3-groups. Monatshefte für Mathematik, v. 195, 391-400, 2021. DOI: https://doi.org/10.1007/s00605-020-01505-5.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/43782	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.title	Subgroups of pro-p PD3-groups	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Grupos pro-p	pt_BR
dc.subject.keyword	Subgrupos de pró-p	pt_BR
dc.subject.keyword	Centralizadores	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00605-020-01505-5	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00605-020-01505-5	pt_BR
dc.description.abstract1	We study 3-dimensional Poincaré duality pro-p groups in the spirit of the work by Robert Bieri and Jonathan Hillmann, and show that if such a pro-p group G has a nontrivial finitely presented subnormal subgroup of infinite index, then either the subgroup is cyclic and normal or the subgroup is cyclic and the group is polycyclic or the subgroup is Demushkin and normal in an open subgroup of G. Also, we describe the centralizers of finitely generated subgroups of 3-dimensional Poincaré duality pro-p groups.	pt_BR
dc.identifier.orcid	https://orcid.org/ 0000-0001-7418-7144	pt_BR
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