Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups

نویسندگان

چکیده

Abstract A Grigorchuk–Gupta–Sidki (GGS)-group is a subgroup of the automorphism group p -regular rooted tree for an odd prime , generated by one and directed automorphism. Pervova proved that all torsion GGS-groups do not have maximal subgroups infinite index. Here, we extend result to nontorsion GGS-groups, which include weakly regular branch, but GGS-group.

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ژورنال

عنوان ژورنال: Canadian mathematical bulletin

سال: 2021

ISSN: ['1496-4287', '0008-4395']

DOI: https://doi.org/10.4153/s0008439521000898