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Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups
Published online by Cambridge University Press: 02 November 2021
Abstract
A Grigorchuk–Gupta–Sidki (GGS)-group is a subgroup of the automorphism group of the p-regular rooted 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 nontorsion GGS-groups, which include the weakly regular branch, but not branch, GGS-group.
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This research was supported by a London Mathematical Society Research in Pairs (Scheme 4) grant.
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