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math.NT2026
Hasse norm principle for extensions of prime squared degree
Yasuhiro Oki
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 resu…
math.NT2025
The Hasse norm principle for some extensions of degree having square-free prime factors
Yasuhiro Oki
We determine the structure of the obstruction group of the Hasse norm principle for a finite separable extension of a global field of degree , where has a square-free…
math.NT2024
Cohomological properties of multinorm-one tori
Pei-Xin Liang, Yasuhiro Oki, Chia-Fu Yu
In this paper we investigate the Tate--Shafarevich group Sha^1(k, T) of a multinorm-one torus over a global field . We establish a few functorial maps among cohomology group…