$p$-retract Rationality and Norm One Tori
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909837484359680 |
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| author | Sato, Kazuki |
| author_facet | Sato, Kazuki |
| contents | We study whether the norm one torus associated with a finite separable non-Galois field extension $K/k$ is $p$-retract rational over $k$ for a prime $p$, focusing on the case where the Galois group of the Galois closure of $K/k$ is either the symmetric or the alternating group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10027 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $p$-retract Rationality and Norm One Tori Sato, Kazuki Number Theory Group Theory We study whether the norm one torus associated with a finite separable non-Galois field extension $K/k$ is $p$-retract rational over $k$ for a prime $p$, focusing on the case where the Galois group of the Galois closure of $K/k$ is either the symmetric or the alternating group. |
| title | $p$-retract Rationality and Norm One Tori |
| topic | Number Theory Group Theory |
| url | https://arxiv.org/abs/2510.10027 |