Título :	Pro-p groups acting on trees with finitely many maximal vertex stabilizers up to conjugation
Autor :	Chatzidakis, Zoé Zalesski, Pavel
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-3369-100X https://orcid.org/0000-0002-2015-239X
metadata.dc.contributor.affiliation:	Ecole Normale Supérieure, Département de Mathématiques et Applications University of Brasilia, Department of Mathematics
Assunto::	Grupos pro-p Grupos-p finitos
Fecha de publicación :	6-mar-2022
Editorial :	Magnes Press
Citación :	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.
Abstract:	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]]).
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
metadata.dc.description.ppg:	Programa de Pós-Graduação em Matemática
DOI:	https://doi.org/10.1007/s11856-022-2287-5
metadata.dc.relation.publisherversion:	https://link.springer.com/article/10.1007/s11856-022-2287-5
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