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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.07244 |
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| _version_ | 1866912022575185920 |
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| author | Kumar, Prashun Venkataraman, Geetha |
| author_facet | Kumar, Prashun Venkataraman, Geetha |
| contents | Let $m$ be a positive integer such that $p$ does not divide $m$ where $p$ is prime. In this paper we find the number of conjugacy classes of completely reducible cyclic subgroups in GL$(2, q)$ of order $m$, where $q$ is a power of $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07244 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conjugacy classes of completely reducible cyclic subgroups of GL$(2, q)$ Kumar, Prashun Venkataraman, Geetha Group Theory 20E45, 20H30, 20K01, 20K25 Let $m$ be a positive integer such that $p$ does not divide $m$ where $p$ is prime. In this paper we find the number of conjugacy classes of completely reducible cyclic subgroups in GL$(2, q)$ of order $m$, where $q$ is a power of $p$. |
| title | Conjugacy classes of completely reducible cyclic subgroups of GL$(2, q)$ |
| topic | Group Theory 20E45, 20H30, 20K01, 20K25 |
| url | https://arxiv.org/abs/2409.07244 |