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p-retract Rationality and Norm One Tori

2025/10/11 by Sato, Kazuki
#FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2510.10027

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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