Multi-GGS-groups have the congruence subgroup property

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 constant vector have the congruence subgroup property. Even if the result remains, new ideas are needed in order to generalize...

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Bibliographic Details
Authors: Garrido, Alejandra, Uria Albizuri, Jone
Format: article
Publication Date:2019
Country:España
Institution:Universidad del País Vasco
Repository:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/65233
Online Access:http://hdl.handle.net/10810/65233
Access Level:Open access
Keyword:self-similar groups
congruence subgroup property
branch groups
Description
Summary: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 constant vector have the congruence subgroup property. Even if the result remains, new ideas are needed in order to generalize the proof.