English

Branch groups with many maximal subgroups

Group Theory 2025-09-12 v1

Abstract

This article presents the construction of finitely generated branch groups with uncountably many maximal subgroups using embedding techniques. This addresses a question posed by Grigorchuk.

Keywords

Cite

@article{arxiv.2509.09280,
  title  = {Branch groups with many maximal subgroups},
  author = {J. Moritz Petschick},
  journal= {arXiv preprint arXiv:2509.09280},
  year   = {2025}
}

Comments

7 pages, no figures. Comments welcome!

R2 v1 2026-07-01T05:31:43.059Z