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On Albert-Hasse-Brauer-Noether's Theorem
KIM, YANGKON 全北大學校 基礎科學硏究所 1991 基礎科學 Vol.14 No.1
The fundamental theorem of Albert-Hasse-Brauer-Noether states that a 2-cocycle splits globally iff it splits locally everywhere. This statment has seemingly been proved only in the cyclic case, but we contend that it holds for any Galois extension, too. Such a theorem looks important in number theory.