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Multi-GGS Groups have the Congruence Subgroup Property

Part of: Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  21 February 2019

Alejandra Garrido  and
Jone Uria–Albizuri
Alejandra Garrido
Affiliation:
School of Mathematical and Physical Sciences, University of Newcastle, University Drive, Callaghan, NSW 2308, Australia ([email protected])
Jone Uria–Albizuri
Affiliation:
Basque Center of Applied Mathematics, Mazarredo, 14, 48009, Bilbao, Basque Country, Spain ([email protected])
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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.

Keywords

groups acting on rooted treesbranch groupscongruence subgroup propertyprofinite completion

MSC classification

Primary: 20E08: Groups acting on trees
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 3 , August 2019 , pp. 889 - 894
Copyright
Copyright © Edinburgh Mathematical Society 2019 

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References

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