Infinite class field tower with small root discriminant
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910474333847552 |
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| author | Liu, Qi Xing, Zugan |
| author_facet | Liu, Qi Xing, Zugan |
| contents | We generalize Schoof's theorem in 1986 and apply this to construct a class of Kummer extensions of the cyclotomic fields with infinite class tower. As an application, we give some number fields with a small root discriminant, which has an infinite $p$-class field tower when $p=3, 5, 7$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinite class field tower with small root discriminant Liu, Qi Xing, Zugan Number Theory 11R29, 11R37 We generalize Schoof's theorem in 1986 and apply this to construct a class of Kummer extensions of the cyclotomic fields with infinite class tower. As an application, we give some number fields with a small root discriminant, which has an infinite $p$-class field tower when $p=3, 5, 7$. |
| title | Infinite class field tower with small root discriminant |
| topic | Number Theory 11R29, 11R37 |
| url | https://arxiv.org/abs/2406.00797 |