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.

引用

页数：20

共 43 条

[41] Finite p-groups all of whose maximal subgroups either are metacyclic or have a derived subgroup of order ≤ p
Lihua Zhang
Yanming Xia
Qinhai Zhang
Chinese Annals of Mathematics, Series B, 2015, 36 : 11 - 30
[42] Finite p-Groups all of Whose Maximal Subgroups Either are Metacyclic or Have a Derived Subgroup of Order ≤ p
Lihua ZHANG
Yanming XIA
Qinhai ZHANG
Chinese Annals of Mathematics(Series B), 2015, 36 (01) : 11 - 30
[43] Finite p-Groups all of Whose Maximal Subgroups Either are Metacyclic or Have a Derived Subgroup of Order ≤ p
Zhang, Lihua
Xia, Yanming
Zhang, Qinhai
CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 36 (01) : 11 - 30

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