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arXiv · 2208.14975

The derived series of GGS-groups

Jan Moritz Petschick
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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.

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Jan Moritz Petschick. 2022-08-31. The derived series of GGS-groups. https://doi.org/10.2140/pjm.2026.343.211

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