Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups
Group Theory
2021-10-26 v2
Abstract
A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the -adic tree for an odd prime , generated by one rooted automorphism and one directed automorphism. Pervova proved that all torsion GGS-groups do not have maximal subgroups of infinite index. Here we extend the result to non-torsion GGS-groups, which include the weakly regular branch, but not branch, GGS-group.
Keywords
Cite
@article{arxiv.2005.02346,
title = {Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups},
author = {Dominik Francoeur and Anitha Thillaisundaram},
journal= {arXiv preprint arXiv:2005.02346},
year = {2021}
}
Comments
17 pages, minor revisions