Mono-anabelian Reconstruction of Number Fields with Restricted Ramification
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908635816263680 |
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| author | Mao, Yu Wang, Xiao |
| author_facet | Mao, Yu Wang, Xiao |
| contents | In this paper, we apply Hoshi's mono-anabelian reconstruction of number fields to establish a group-theoretic reconstruction of a number field K together with its maximal unramified outside S extension K_S for a density 1 subset of primes of K starting from the profinite group G_{K,S}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05101 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mono-anabelian Reconstruction of Number Fields with Restricted Ramification Mao, Yu Wang, Xiao Number Theory In this paper, we apply Hoshi's mono-anabelian reconstruction of number fields to establish a group-theoretic reconstruction of a number field K together with its maximal unramified outside S extension K_S for a density 1 subset of primes of K starting from the profinite group G_{K,S}. |
| title | Mono-anabelian Reconstruction of Number Fields with Restricted Ramification |
| topic | Number Theory |
| url | https://arxiv.org/abs/2511.05101 |