论文标题
派生的一系列GGS组
The derived series of GGS-groups
论文作者
论文摘要
给定一个ggs group $ g $，在原始的扎根树上定义元组，我们计算索引$ | g：g^{（n）} | $，并描述所有$ g^{（n）$ in \ mathbb in \ mathbb {n n} $ in \ mathbb {n} $。我们发现值$ | g：g^{（n）} | $仅温和地取决于定义元组的结构。
Given a GGS-group $G$ with non-constant defining tuple over a prime-regular rooted tree, we calculate the indices $|G:G^{(n)}|$ and describe the structure of the higher derived subgroups $G^{(n)}$ for all $n \in \mathbb{N}$. We find that the values $|G:G^{(n)}|$ depend only mildly on the structure of the defining tuple.
