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arXiv · 1312.5615

Maximal subgroups of multi-edge spinal groups

Theofanis Alexoudas·Benjamin Klopsch·Anitha Thillaisundaram
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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.

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Theofanis Alexoudas, Benjamin Klopsch, Anitha Thillaisundaram. 2013-12-19. Maximal subgroups of multi-edge spinal groups. https://arxiv.org/abs/1312.5615

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