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Hasse norm principle for extensions of prime squared degree

Published 14 Aug 2025 in math.NT | (2508.10706v1)

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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