ORCID Profile
0000-0002-7114-2562
Current Organisations
Universidad Autónoma de Madrid
,
Instituto de Ciencias Matemáticas
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Publisher: Wiley
Date: 14-11-2019
DOI: 10.1112/JLMS.12295
Publisher: Elsevier BV
Date: 12-2018
Publisher: European Mathematical Society - EMS - Publishing House GmbH
Date: 2016
DOI: 10.4171/GGD/355
Publisher: Cambridge University Press
Date: 2018
Publisher: American Mathematical Society (AMS)
Date: 31-01-2017
DOI: 10.1090/PROC/13499
Abstract: We show that all GGS-groups with a non-constant defining vector satisfy the congruence subgroup property. This provides, for every odd prime p p , many ex les of finitely generated, residually finite, non-torsion groups whose profinite completion is a pro- p 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 a constant defining vector has an infinite congruence kernel and is not a branch group.
Publisher: Wiley
Date: 30-04-2021
DOI: 10.1112/BLMS.12496
Publisher: Oxford University Press (OUP)
Date: 07-11-2022
DOI: 10.1093/IMRN/RNAC309
Abstract: Can one detect free products of groups via their profinite completions? We answer positively among virtually free groups. More precisely, we prove that a subgroup of a finitely generated virtually free group $G$ is a free factor if and only if its closure in the profinite completion of $G$ is a profinite free factor. This generalises results by Parzanchevski and Puder for free groups that were later also proved by Wilton. Our methods are entirely different to theirs, combining homological properties of profinite groups and the decomposition theory of Dicks and Dunwoody.
Publisher: Elsevier BV
Date: 2014
Publisher: Cambridge University Press (CUP)
Date: 21-02-2019
DOI: 10.1017/S0013091518000913
Abstract: We generalize the result about the congruence subgroup property for GGS groups in [3] to the family of multi-GGS groups that is, all multi-GGS groups except the one defined by the constant vector have the congruence subgroup property. New arguments are provided to produce this more general proof.
Publisher: Springer Science and Business Media LLC
Date: 13-12-2019
Publisher: Springer Science and Business Media LLC
Date: 10-2016
Location: United Kingdom of Great Britain and Northern Ireland
No related grants have been discovered for Alejandra Garrido.