Work

Maximal subgroups of multi-edge spinal groups

Year: 2016

Type: article

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.

Source: Groups Geometry and Dynamics

DOI: 10.4171/ggd/359

Authors: Theofanis Alexoudas, Benjamin Klopsch, Anitha Thillaisundaram

Institutions: Royal Holloway University of London, Heinrich Heine University Düsseldorf

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W1778960382

FWCI: 2.905

Cites: 10

Cited by: 29

Related to: 10