The derived series of GGS groups
Abstract
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.
Fields of Study & Subjects
Finite Group Theory Research
Algebraic structures and combinatorial models
Synthesis and Reactivity of Heterocycles
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 343
- Issue
- 1
- Pages
- 211–230
- Publication date
- 29 April 2026
- Language
- EN