Multi-EGS-groups: exponent of congruence quotients
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911805718134784 |
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| author | Maini, Elena |
| author_facet | Maini, Elena |
| contents | Given a multi-EGS-group $K$ acting on the $p$-adic rooted tree, where $p$ is any prime number, we compute the exponent of the congruence quotient $K_n= K/ \St_K(n)$ for all $n\ge 1$. The formula that we obtain for $\exp(K_n)$ only depends on $p$, $n$ and the periodicity of $K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multi-EGS-groups: exponent of congruence quotients Maini, Elena Group Theory 20E08 Given a multi-EGS-group $K$ acting on the $p$-adic rooted tree, where $p$ is any prime number, we compute the exponent of the congruence quotient $K_n= K/ \St_K(n)$ for all $n\ge 1$. The formula that we obtain for $\exp(K_n)$ only depends on $p$, $n$ and the periodicity of $K$. |
| title | Multi-EGS-groups: exponent of congruence quotients |
| topic | Group Theory 20E08 |
| url | https://arxiv.org/abs/2403.13715 |