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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2504.20785 |
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| _version_ | 1866916712672133120 |
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| author | Benjamin, Elliot Snyder, C. |
| author_facet | Benjamin, Elliot Snyder, C. |
| contents | We determine some properties of the narrow 2-class field tower of those real quadratic number fields whose discriminants are not a sum of two squares and for which their 2-class groups are elementary of order $4$. Here in Part I, we determine precisely which of these fields have the 2-class groups of their narrow 2-Hilbert class fields of rank 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20785 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Narrow $2$-Class Field Tower of Some Real Quadratic Number Fields, Part I: Ranks Benjamin, Elliot Snyder, C. Number Theory 11R29, 20D15 We determine some properties of the narrow 2-class field tower of those real quadratic number fields whose discriminants are not a sum of two squares and for which their 2-class groups are elementary of order $4$. Here in Part I, we determine precisely which of these fields have the 2-class groups of their narrow 2-Hilbert class fields of rank 2. |
| title | On the Narrow $2$-Class Field Tower of Some Real Quadratic Number Fields, Part I: Ranks |
| topic | Number Theory 11R29, 20D15 |
| url | https://arxiv.org/abs/2504.20785 |