Hasse norm principle for extensions of prime squared degree

2025/08/14 by Oki, Yasuhiro
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2508.10706

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.

Citations

• The Hasse norm principle for some extensions of degree having square-free prime factors
• The rationality problem for multinorm one tori
• Hasse norm principle for Heisenberg extensions of degree p³
• Hasse norm principle for metacyclic extensions with trivial Schur multiplier
• On unramified Brauer groups of torsors over tori
• Norm one tori and Hasse norm principle, II: Degree 12 case
• Norm one tori and Hasse norm principle
• Explicit methods for the Hasse norm principle and applications to A_n and S_n extensions
• Bogomolov multipliers of p-groups of maximal class
• Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I

Related

• The Hasse norm principle for some extensions of degree having square-free prime factors
• A Projective Twist on the Hasse Norm Theorem
• Hasse norm principle for Heisenberg extensions of degree p³
• Explicit methods for the Hasse norm principle and applications to A_n and S_n extensions
• The Hasse norm principle for some non-Galois extensions of square-free degree