BackOn the congruence subgroup property for GGS-groups
| dc.contributor.author | Fernández Alcober, Gustavo Adolfo | |
| dc.contributor.author | Garrido, Alejandra | |
| dc.contributor.author | Uria Albizuri, Jone | |
| dc.date.accessioned | 2024-02-08T10:15:20Z | |
| dc.date.available | 2024-02-08T10:15:20Z | |
| dc.date.issued | 2017-01-31 | |
| dc.identifier.citation | Proceedings of the American Mathematical Society 145 : 3311-3322 (2017) | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.issn | 088-6826 | |
| dc.identifier.uri | http://hdl.handle.net/10810/65218 | |
| dc.description.abstract | We show that all GGS-groups with non-constant defining vector satisfy the congruence subgroup property. This provides, for every odd prime p, many examples of finitely generated, residually finite, non-torsion groups whose profinite completion is a pro-p group, and among them we find torsion-free groups. This answers a question of Barnea. On the other hand, we prove that the GGS-group with constant defining vector has an infinite congruence kernel and is not a branch group. | es_ES |
| dc.description.sponsorship | The first and third authors acknowledge financial support from the Spanish Government, grants MTM2011-28229-C02 and MTM2014-53810-C2-2-P, and from the Basque Government, grants IT753-13 and IT974-16. The third author was also supported by the Basque Goverment predoc- toral grant PRE-2014-1-347. This article was finished while the second author was a postdoctoral researcher at the Universit´e de Gen`eve, whose support and that of the Swiss National Science Foundation she gratefully acknowledges. This article was finished while A. Garrido was a postdoctoral researcher at the Université de Genève, whose support and that of the Swiss National Science Foundation she gratefully acknowledges. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | AMS | es_ES |
| dc.rights | info:eu-repo/semantics/openAccess | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
| dc.subject | self-similar groups | es_ES |
| dc.subject | branch groups | |
| dc.subject | congruence subgroup property | |
| dc.title | On the congruence subgroup property for GGS-groups | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.holder | (c) 2017 American Mathematical Society under CC BY-NC-ND license | * |
| dc.relation.publisherversion | https://www.ams.org/journals/proc/2017-145-08/S0002-9939-2017-13499-6/ | |
| dc.identifier.doi | 10.1090/proc/13499 | |
| dc.departamentoes | Matemáticas | es_ES |
| dc.departamentoeu | Matematika | es_ES |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as (c) 2017 American Mathematical Society under CC BY-NC-ND license