Pro-p groups acting on trees with finitely many maximal vertex stabilizers up to conjugation

Chatzidakis, Zoé; Zalesski, Pavel

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Campo DC	Valor	Idioma
dc.contributor.author	Chatzidakis, Zoé	-
dc.contributor.author	Zalesski, Pavel	-
dc.date.accessioned	2025-09-18T10:56:08Z	-
dc.date.available	2025-09-18T10:56:08Z	-
dc.date.issued	2022-03-06	-
dc.identifier.citation	CHATZIDAKIS, Zoé; ZALESSKI, Pavel. Pro-p groups acting on trees with finitely many maximal vertex stabilizers up to conjugation. Israel Journal of Mathematics, Jerusalem, v. 247, p. 593-634, 2022. DOI: https://doi.org/10.1007/s11856-022-2287-5. Disponível em: https://link.springer.com/article/10.1007/s11856-022-2287-5. Acesso em: 13 jun. 2025.	pt_BR
dc.identifier.uri	http://repositorio.unb.br/handle/10482/52457	-
dc.language.iso	eng	pt_BR
dc.publisher	Magnes Press	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Pro-p groups acting on trees with finitely many maximal vertex stabilizers up to conjugation	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Grupos pro-p	pt_BR
dc.subject.keyword	Grupos-p finitos	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s11856-022-2287-5	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s11856-022-2287-5	pt_BR
dc.description.abstract1	We prove that a finitely generated pro-p group G acting on a pro-p tree T splits as a free amalgamated pro-p product or a pro-p HNN-extension over an edge stabilizer. If G acts with finitely many vertex stabilizers up to conjugation, we show that it is the fundamental pro-p group of a finite graph of pro-p groups (G, Γ) with edge and vertex groups being stabilizers of certain vertices and edges of T respectively. If edge stabilizers are procyclic, we give a bound on Γ in terms of the minimal number of generators of G. We also give a criterion for a pro-p group G to be accessible in terms of the first cohomology H1(G, Fp[[G]]).	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-3369-100X	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-2015-239X	pt_BR
dc.contributor.affiliation	Ecole Normale Supérieure, Département de Mathématiques et Applications	pt_BR
dc.contributor.affiliation	University of Brasilia, Department of Mathematics	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
dc.description.ppg	Programa de Pós-Graduação em Matemática	pt_BR
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