Maximal subgroups of multi-edge spinal groups. (English) Zbl 1405.20020
Authors’ 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 E. L. Pervova [Int. J. Algebra Comput. 15, No. 5–6, 1129–1150 (2005; Zbl 1109.20032)] for GGS-groups.
Reviewer: Igor Subbotin (Los Angeles)
Citations:
Zbl 1109.20032References:
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
