Show simple item record

dc.contributor.authorGarrido, Alejandra
dc.contributor.authorUria Albizuri, Jone
dc.date.accessioned2024-02-08T10:10:24Z
dc.date.available2024-02-08T10:10:24Z
dc.date.issued2018-12-13
dc.identifier.citationArchiv der Mathematik 112 : 123-137 (2019)
dc.identifier.issn0003-889X
dc.identifier.urihttp://hdl.handle.net/10810/65209
dc.description.abstractWe propose a generalisation of the congruence subgroup problem for groups acting on rooted trees. Instead of only comparing the profinite completion to that given by level stabilizers, we also compare pro-C completions of the group, where C is a pseudo-variety of finite groups. A group acting on a rooted, locally finite tree has the C-congruence subgroup property (C-CSP) if its pro-C completion coincides with the completion with respect to level stabilizers. We give a sufficient condition for a weakly regular branch group to have the C-CSP. In the case where C is also closed under extensions (for instance the class of all finite p-groups for some prime p), our sufficient condition is also necessary. We apply the criterion to show that the Basilica group and the GGS-groups with constant defining vector (odd prime relatives of the Basilica group) have the p-CSP.es_ES
dc.description.sponsorshipA. Garrido was supported by the Alexander von Humboldt Foundation. J. Uria-Albizuri acknowledges financial support from the Spanish Government, grant MTM2014-53810-C2-2-P, and from the Basque Government, grant IT974-16 and the predoctoral grant PRE-2014-1-347. This research is also supported by the Basque Government through the BERC 2018-2021 program and by the Spanish Ministry of Science, Innovation and Universities: BCAM Severo Ochoa accreditation SEV-2017-0718.es_ES
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.subjectcongruence subgroup propertyes_ES
dc.subjectBranch groupses_ES
dc.subjectprofinite completiones_ES
dc.titlePro-C congruence properties for groups of rooted tree automorphismses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.holder© 2018, Springer Nature Switzerland AG*
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s00013-018-1278-6
dc.identifier.doi/10.1007/s00013-018-1278-6
dc.departamentoesMatemáticases_ES
dc.departamentoeuMatematikaes_ES


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record