The derived series of GGS-groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866911647127306240 |
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| author | Petschick, Jan Moritz |
| author_facet | Petschick, Jan Moritz |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_14975 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The derived series of GGS-groups Petschick, Jan Moritz Group Theory 20E08 (Primary), 20F14 (Secondary), 20E15 (Secondary) 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. |
| title | The derived series of GGS-groups |
| topic | Group Theory 20E08 (Primary), 20F14 (Secondary), 20E15 (Secondary) |
| url | https://arxiv.org/abs/2208.14975 |