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Pré-Publication, Document De Travail Année : 2020

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.
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hal-03058570 , version 1 (11-12-2020)

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Dominik Francoeur, Anitha Thillaisundaram. MAXIMAL SUBGROUPS OF NON-TORSION GRIGORCHUK-GUPTA-SIDKI GROUPS. 2020. ⟨hal-03058570⟩
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