Maximal subgroups of multi-edge spinal groups
Author(s) -
Theofanis Alexoudas,
Benjamin Klopsch,
Anitha Thillaisundaram
Publication year - 2016
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/359
Subject(s) - mathematics , enhanced data rates for gsm evolution , combinatorics , pure mathematics , artificial intelligence , computer science
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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