Arithmeticity of Some Hypergeometric Groups
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915382353199104 |
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| author | Bajpai, Jitendra Singh, Sandip Singh, Shashank Vikram |
| author_facet | Bajpai, Jitendra Singh, Sandip Singh, Shashank Vikram |
| contents | We show that the hypergeometric groups associated to the pairs of the parameters $\left(0,0,\frac{1}{3}, \frac{2}{3}\right)$, $\left(\frac{1}{2},\frac{1}{2},\frac{1}{4},\frac{3}{4}\right)$; and $\left(0,\frac{1}{12}, \frac{5}{12},\frac{7}{12},\frac{11}{12}\right), \left(\frac{1}{2},\frac{1}{3},\frac{1}{3},\frac{2}{3},\frac{2}{3}\right)$ are arithmetic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_08586 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Arithmeticity of Some Hypergeometric Groups Bajpai, Jitendra Singh, Sandip Singh, Shashank Vikram Group Theory Primary: 22E40, Secondary: 32S40, 33C80 We show that the hypergeometric groups associated to the pairs of the parameters $\left(0,0,\frac{1}{3}, \frac{2}{3}\right)$, $\left(\frac{1}{2},\frac{1}{2},\frac{1}{4},\frac{3}{4}\right)$; and $\left(0,\frac{1}{12}, \frac{5}{12},\frac{7}{12},\frac{11}{12}\right), \left(\frac{1}{2},\frac{1}{3},\frac{1}{3},\frac{2}{3},\frac{2}{3}\right)$ are arithmetic. |
| title | Arithmeticity of Some Hypergeometric Groups |
| topic | Group Theory Primary: 22E40, Secondary: 32S40, 33C80 |
| url | https://arxiv.org/abs/2201.08586 |