Maximal subgroups of multi-edge spinal groups
Group Theory
2016-05-30 v3
Abstract
A multi-edge spinal group is a subgroup of the automorphism group of a regular p-adic rooted tree, generated by one rooted automorphism and a finite number of directed automorphisms sharing a common directing path. We prove that torsion multi-edge spinal groups do not have maximal subgroups of infinite index. This generalizes a result of Pervova for GGS-groups.
Cite
@article{arxiv.1312.5615,
title = {Maximal subgroups of multi-edge spinal groups},
author = {Theofanis Alexoudas and Benjamin Klopsch and Anitha Thillaisundaram},
journal= {arXiv preprint arXiv:1312.5615},
year = {2016}
}
Comments
25 pages; includes minor corrections and clarifications