MAXIMAL SUBGROUPS OF NON-TORSION GRIGORCHUK-GUPTA-SIDKI GROUPS
Résumé
A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the p-adic tree for an odd prime p, generated by one rooted automorphism and one directed automorphism. Pervova proved that all torsion GGS-groups do not have maximal subgroups of infinite index. Here we extend the result to non-torsion GGS-groups, which include the weakly regular branch, but not branch, GGS-group.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)