The profinite completion of multi-EGS groups

2019/10/08 by Thillaisundaram, Anitha, Uria-Albizuri, Jone · 3 citations
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1910.03399

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.

Cited by

• Normal subgroups of non-torsion multi-EGS groups
• Weakly branch actions: first-order theory, rigidity and Boston's conjecture
• The Basilica group of the Grigorchuk-Erschler group

Related

• Normal subgroups of non-torsion multi-EGS groups
• Constructing uncountably many groups with the same profinite completion
• Multi-EGS-groups: exponent of congruence quotients
• The automorphism group of a multi-GGS group
• Branch groups with many maximal subgroups