English

The profinite completion of multi-EGS groups

Group Theory 2020-10-20 v2

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

Cite

@article{arxiv.1910.03399,
  title  = {The profinite completion of multi-EGS groups},
  author = {Anitha Thillaisundaram and Jone Uria-Albizuri},
  journal= {arXiv preprint arXiv:1910.03399},
  year   = {2020}
}

Comments

28 pages; minor corrections

R2 v1 2026-06-23T11:37:35.504Z