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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/2511.05192 |
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| _version_ | 1866909892631068672 |
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| author | Mao, Yu Saidi, Mohamed |
| author_facet | Mao, Yu Saidi, Mohamed |
| contents | The goal of this paper is to develop a group-theoretic algorithm, to reconstruct a number field (together with its maximal m-step solvable ex- tension for some positive integer m \geq 3) from the maximal m+9-step solv- able quotient of its absolute Galois group. If K is an imaginary quadratic field or Q, we establish a group-theoretic reconstruction algorithm of K from the maximal 6-step solvable quotient of its absolute Galois group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05192 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The m-step Solvable Mono-anabelian Geometry of Number Fields Mao, Yu Saidi, Mohamed Number Theory The goal of this paper is to develop a group-theoretic algorithm, to reconstruct a number field (together with its maximal m-step solvable ex- tension for some positive integer m \geq 3) from the maximal m+9-step solv- able quotient of its absolute Galois group. If K is an imaginary quadratic field or Q, we establish a group-theoretic reconstruction algorithm of K from the maximal 6-step solvable quotient of its absolute Galois group. |
| title | The m-step Solvable Mono-anabelian Geometry of Number Fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2511.05192 |