Titre:	Subgroups of pro-p PD3-groups
Auteur(s):	Castellano, Ilaria Zalesski, Pavel
metadata.dc.identifier.orcid:	https://orcid.org/ 0000-0001-7418-7144
Assunto::	Grupos pro-p Subgrupos de pró-p Centralizadores
Date de publication:	4-jan-2021
Editeur:	Springer
Référence bibliographique:	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.
Abstract:	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.
DOI:	https://doi.org/10.1007/s00605-020-01505-5
metadata.dc.relation.publisherversion:	https://link.springer.com/article/10.1007/s00605-020-01505-5
Collection(s) :	Artigos publicados em periódicos e afins

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