Maximal subgroups of nontorsion Grigorchuk-Gupta-Sidki groups

被引：0
|
作者：
Francoeur, Dominik [1 ]
Thillaisundaram, Anitha [2 ]
机构：
[1] Univ Autonoma Madrid, Inst Ciencias Matemat, Calle Nicolas Cabrera,13-15,Campus Cantoblanco, Madrid 28049, Spain
[2] Lund Univ, Ctr Math Sci, S-22362 Lund, Sweden
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2021年
关键词：
GGS-groups; branch groups; maximal subgroups; PROPERTY;
D O I：
10.4153/S0008439521000898
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：20
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