Maximal subgroups of multi-edge spinal groups
(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:
https://lup.lub.lu.se/record/06a9a04a-475f-4ed9-94a7-8bd1ce2fc0ab
- author
- Alexoudas, Theofanis ; Klopsch, Benjamin and Thillaisundaram, Anitha LU
- publishing date
- 2016
- 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
- 2024-08-12 17:37:22
@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}}, }