Hasse norm principle for extensions of prime squared degree

Fuente: arXiv
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Main Author: Oki, Yasuhiro
Format: Preprint
Published: 2025
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author Oki, Yasuhiro
author_facet Oki, Yasuhiro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_10706
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hasse norm principle for extensions of prime squared degree
Oki, Yasuhiro
Number Theory
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.
title Hasse norm principle for extensions of prime squared degree
topic Number Theory
url https://arxiv.org/abs/2508.10706