20 citations · 63 across the 10 of their papers we have counts for
11 papers
Free factors and profinite completions
Alejandra Garrido, Andrei Jaikin-Zapirain
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 gen…
Discrete locally finite full groups of Cantor set homeomorphisms
Alejandra Garrido, Colin D. Reid
This work is motivated by the problem of finding locally compact group topologies for piecewise full groups (a.k.a.~ topological full groups). We determine that any piecewise full…
Pro- groups of positive rank gradient and Hausdorff dimension
Oihana Garaialde Ocaña, Alejandra Garrido, Benjamin Klopsch
Let be a finitely generated pro- group of positive rank gradient. Motivated by the study of Hausdorff dimension, we show that finitely generated closed subgroups of infi…
Pro- congruence properties for groups of rooted tree automorphisms
Alejandra Garrido, Jone Uria-Albizuri
We 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 stabiliz…
Multi-GGS-groups have the congruence subgroup property
Alejandra Garrido, Jone Uria-Albizuri
We generalize the result about the congruence subgroup property for GGS-groups to the family of multi-GGS-groups; that is, all multi-GGS-groups except the one defined by the consta…
Maximal subgroups of groups of intermediate growth
Dominik Francoeur, Alejandra Garrido
Finding the number of maximal subgroups of infinite index of a finitely generated group is a natural problem that has been solved for several classes of `geometric' groups (linear…
On the congruence subgroup property for GGS-groups
Gustavo A. Fernández-Alcober, Alejandra Garrido, Jone Uria-Albizuri
We show that all GGS-groups with non-constant defining vector satisfy the congruence subgroup property. This provides, for every odd prime , many examples of finitely generated,…
Automorphism Groups of Trees: Generalities and Prescribed Local Actions
Alejandra Garrido, Yair Glasner, Stephan Tornier
This article is an expanded version of the talks given by the authors at the Arbeitsgemeinschaft "Totally Disconnected Groups", held at Oberwolfach in October 2014. We recall the b…
On the congruence subgroup problem for branch groups
Alejandra Garrido
We answer a question of Bartholdi, Siegenthaler and Zalesskii, showing that the congruence subgroup problem for branch groups is independent of the branch action on a tree. We prov…
Abstract commensurability and the Gupta--Sidki group
Alejandra Garrido
We study the subgroup structure of the infinite torsion -groups defined by Gupta and Sidki in 1983. In particular, following results of Grigorchuk and Wilson for the first Grigo…
On subgroups of finite index in branch groups
Alejandra Garrido, John S. Wilson
We give a structural description of the normal subgroups of subgroups of finite index in branch groups in terms of rigid stabilizers. This gives further insight into the structure…