Theofanis Alexoudas, Benjamin Klopsch, Anitha Thillaisundaram
Published 2013-12-19, updated 2014-11-26Version 2
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.
Comments: 25 pages; includes minor corrections and clarifications
Maximal subgroups of groups of intermediate growth
Type systems and maximal subgroups of Thompson's group $V$
On maximal subgroups of ample groups
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