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... The Hasse norm principle for elementary abelian extensions . Proc . Amer . Math . Soc . 118 ( 1993 ) , no . 1 , 47–56 . 93f : 11074 Let K / k be a Galois extension of finite algebraic number fields with elementary abelian Galois group G ...

... abelian extensions. Amer. J. Math., 140(6):1639–168, 2018. 10. C. Frei, D. Loughran, and R. Newton. Number fields with prescribed norms. With an ... Fields, volume 210 The Hasse Norm Principle in Global Function Fields 289 References.

... The Hasse Principle — For Norms — For Powers 176 ��7 Symbols Over Number Fields — Hilbert and Regular Kernels 195 III. Abelian Extensions with Restricted Ramification — Abelian Closure 221 ��1 Generalities on H^/Hs and its Subextensions ...

... THE HASSE PRINCIPLE FOR ELEMENTARY ABELIAN FIELDS Mitsuko HORIE ( Received July 7 , 1990 ) Let L be a finite Galois extension over the rational number field Q. Let N1 denote the norm map J1 �� Jo where , for each ( finite ) algebraic number ...

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... Elementary divisors of an abelian group , 83 Equivalent BCFs , 117 Equivalent BQFs , 249 Equivalent ideals , 72 in a ... Hasse principle , 80 Lower , 291 L - prepared BCF , 409 Gamma function , 200 Generalized Riemann hypothesis ...

... elementary abelian 2 - extensions of Q. Acta Arith . 115 ( 2004 ) , no . 1 ... fields . ( English summary ) Finite Fields Appl . 11 ( 2005 ) , no . 1 , 123-150 ... The Hasse principle and the Brauer - Manin obstruction for curves ...