Geodesic
Maximal subgroups of multi-edge spinal groups
Theofanis Alexoudas1 ; Benjamin Klopsch2 ; Anitha Thillaisundaram2
1Royal Holloway, University of London, Egham, UK
2Heinrich-Heine-Universität, Düsseldorf, Germany
Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 619-648

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DOI

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.
DOI : 10.4171/ggd/359
Classification : 20-XX, 05-XX
Mots-clés : Multi-edge spinal groups, branch groups, maximal subgroups

Theofanis Alexoudas  1   ; Benjamin Klopsch  2   ; Anitha Thillaisundaram  2

1 Royal Holloway, University of London, Egham, UK
2 Heinrich-Heine-Universität, Düsseldorf, Germany 
Theofanis Alexoudas; Benjamin Klopsch; Anitha Thillaisundaram. Maximal subgroups of multi-edge spinal groups. Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 619-648. doi: 10.4171/ggd/359
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     doi = {10.4171/ggd/359},
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