论文标题
非应变的最大亚组Grigorchuk-Gupta-Sidki组
Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups
论文作者
论文摘要
Grigorchuk-gupta-sidki（GGS-）组是$ p $ addic树的自动形态组的子组，用于奇数Prime $ p $，由一个根生的自动形态和一种有向自动形态的自动形态产生。 Pervova证明，所有扭转GGS组都没有最大的无限指数亚组。在这里，我们将结果扩展到非扭转GGS组，其中包括弱规则的分支，但不包括分支，GGS组。
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.
