Hasse norm principle for extensions of prime squared degree

Yasuhiro Oki

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arXiv · 2508.10706

Hasse norm principle for extensions of prime squared degree

Yasuhiro Oki

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Abstract

We give an equivalent condition for the validity of the Hasse norm principle for finite separable extensions of prime squared degree of global fields. Our theorem recovers the result of Drakokhrust--Platonov, which claims that the Hasse norm principle holds for adequate extensions of prime squared degree.

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Yasuhiro Oki. 2025-08-14. Hasse norm principle for extensions of prime squared degree. https://arxiv.org/abs/2508.10706

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