On the Narrow $2$-Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918004354187264 |
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| author | Benjamin, Elliot Snyder, C. |
| author_facet | Benjamin, Elliot Snyder, C. |
| contents | We determine precisely when the length of the narrow 2-class field tower is $2$ for most of those real quadratic number fields whose discriminant is not a sum of two squares and for which their 2-class groups are elementary of order $4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20787 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Narrow $2$-Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths Benjamin, Elliot Snyder, C. Number Theory 11R29, 20D15 We determine precisely when the length of the narrow 2-class field tower is $2$ for most of those real quadratic number fields whose discriminant is not a sum of two squares and for which their 2-class groups are elementary of order $4$. |
| title | On the Narrow $2$-Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths |
| topic | Number Theory 11R29, 20D15 |
| url | https://arxiv.org/abs/2504.20787 |