The profinite genus of the groups $\mathbb{Z}^n\rtimes C_{p^2}$
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916006030475264 |
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| author | Estanislau, Marlon MacQuarrie, John Porto, Anderson |
| author_facet | Estanislau, Marlon MacQuarrie, John Porto, Anderson |
| contents | A formula is given for the profinite genus of groups of the form $\mathbb{Z}^n \rtimes C_{p^2}$, completing the calculation of the size of the genus of semidirect products of the form $\mathbb{Z}^n \rtimes G$ where $G$ is a finite $p$-group of finite integral representation type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22658 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The profinite genus of the groups $\mathbb{Z}^n\rtimes C_{p^2}$ Estanislau, Marlon MacQuarrie, John Porto, Anderson Group Theory 20E34, 20C05, 20C10, 20H15 A formula is given for the profinite genus of groups of the form $\mathbb{Z}^n \rtimes C_{p^2}$, completing the calculation of the size of the genus of semidirect products of the form $\mathbb{Z}^n \rtimes G$ where $G$ is a finite $p$-group of finite integral representation type. |
| title | The profinite genus of the groups $\mathbb{Z}^n\rtimes C_{p^2}$ |
| topic | Group Theory 20E34, 20C05, 20C10, 20H15 |
| url | https://arxiv.org/abs/2511.22658 |