On the m-torsion Subgroup of the Brauer Group of a Global Field
Wen-Chen Chi, Hung-Min Liao, Ki-Seng Tan
Abstract
In this note, we give a short proof of the existence of certain abelian extension over a given global field K. This result implies that for every positive integer m, there exists an abelian extension L/K of exponent m such that the m-torsion subgroup of (K) equals (L/K).
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