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MAXIMAL SUBGROUPS OF NON-TORSION GRIGORCHUK-GUPTA-SIDKI GROUPS

MAXIMAL SUBGROUPS OF NON-TORSION GRIGORCHUK-GUPTA-SIDKI GROUPS

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, …