The profinite completion of multi-EGS groups

Thillaisundaram, Anitha and Uria-Albizuri, Jone (2021) The profinite completion of multi-EGS groups. Journal of Group Theory . ISSN 1433-5883

Full content URL: https://doi.org/10.1515/jgth-2019-0155

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The profinite completion of multi-EGS groups
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Abstract

The class of multi-EGS groups is a generalisation of the well-known Grigorchuk-Gupta-Sidki (GGS-)groups. Here we classify branch multi-EGS groups with the congruence subgroup property and determine the profinite completion of all branch multi-EGS groups. Additionally our results show that branch multi-EGS groups are just infinite.

Keywords:branch groups, profinite groups, profinite completions, congruence subgroup property
Subjects:G Mathematical and Computer Sciences > G110 Pure Mathematics
Divisions:College of Science > School of Mathematics and Physics
ID Code:42730
Deposited On:17 Nov 2020 15:20

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