Work

Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups

Year: 2021

Type: article

Abstract: A Grigorchuk–Gupta–Sidki (GGS)-group is a subgroup of the automorphism group of the p-regular rooted tree for an odd prime p, 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 nontorsion GGS-groups, which include the weakly regular branch, but not branch, GGS-group.

Source: Canadian Mathematical Bulletin

DOI: 10.4153/s0008439521000898

Authors: Dominik Francoeur, Anitha Thillaisundaram

Institutions: Institute of Mathematical Sciences, Universidad Autónoma de Madrid, Lund University

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: London Mathematical Society

Award: G8163960986