$p$-retract Rationality and Norm One Tori

Kazuki Sato

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arXiv · 2510.10027

$p$-retract Rationality and Norm One Tori

Kazuki Sato

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Abstract

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.

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Kazuki Sato. 2025-10-11. $p$-retract Rationality and Norm One Tori. https://arxiv.org/abs/2510.10027

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