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On the n -torsion subgroup of the Brauer group of a number field

Hershy Kisilevsky, Jack Sonn (2003)

Journal de théorie des nombres de Bordeaux

Given a number field K Galois over the rational field , and a positive integer n prime to the class number of K , there exists an abelian extension L / K (of exponent n ) such that the n -torsion subgroup of the Brauer group of K is equal to the relative Brauer group of L / K .

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