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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2505.10100 |
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| _version_ | 1866909846644719616 |
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| author | König, Joachim |
| author_facet | König, Joachim |
| contents | We realize infinitely many covering groups $2.A_n$ (where $A_n$ is the alternating group) as the Galois group of everywhere unramified Galois extensions over infinitely many quadratic number fields. After several predecessor works investigating special cases or proving conditional results in this direction, these are the first unramified realizations of infinitely many of these groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10100 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unramified extensions of quadratic number fields with Galois group $2.A_n$ König, Joachim Number Theory We realize infinitely many covering groups $2.A_n$ (where $A_n$ is the alternating group) as the Galois group of everywhere unramified Galois extensions over infinitely many quadratic number fields. After several predecessor works investigating special cases or proving conditional results in this direction, these are the first unramified realizations of infinitely many of these groups. |
| title | Unramified extensions of quadratic number fields with Galois group $2.A_n$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2505.10100 |