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Maximal subgroups of multi-edge spinal groups

Alexoudas, Theofanis ; Klopsch, Benjamin and Thillaisundaram, Anitha LU (2016) In Groups Geometry and Dynamics 10(2). p.619-648
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.
Please use this url to cite or link to this publication:
author
; and
publishing date
type
Contribution to journal
publication status
published
subject
in
Groups Geometry and Dynamics
volume
10
issue
2
pages
619 - 648
publisher
European Mathematical Society Publishing House
external identifiers
  • scopus:84974715307
ISSN
1661-7207
DOI
10.4171/GGD/359
language
English
LU publication?
no
id
06a9a04a-475f-4ed9-94a7-8bd1ce2fc0ab
date added to LUP
2024-06-07 14:31:47
date last changed
2025-10-14 13:04:02
@article{06a9a04a-475f-4ed9-94a7-8bd1ce2fc0ab,
  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.}},
  author       = {{Alexoudas, Theofanis and Klopsch, Benjamin and Thillaisundaram, Anitha}},
  issn         = {{1661-7207}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{619--648}},
  publisher    = {{European Mathematical Society Publishing House}},
  series       = {{Groups Geometry and Dynamics}},
  title        = {{Maximal subgroups of multi-edge spinal groups}},
  url          = {{http://dx.doi.org/10.4171/GGD/359}},
  doi          = {{10.4171/GGD/359}},
  volume       = {{10}},
  year         = {{2016}},
}