Hasse norm principle for extensions of prime squared degree

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-14
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
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article

Hasse norm principle for extensions of prime squared degree

ArXiv.org
Advanced Topology and Set Theory
article

Hasse norm principle for extensions of prime squared degree

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 44%
Advanced Topology and Set Theory
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Hasse norm principle for extensions of prime squared degree · ArXiv.org (2025) | TGRS Research Map | TGRS