Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups

2020/05/05 by Dominik Francoeur, Francoeur, Dominik, Anitha Thillaisundaram +1 · 1 citation
Computer Science · Mathematics · #20E08 #20E28 #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2005.02346

openalex publication_date 2020/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the p-adic 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 non-torsion GGS-groups, which include the weakly regular branch, but not branch, GGS-group.

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