The unramified Brauer group of norm one tori
Abstract
Let k be a number field and K/k Galois. We transform the construction of the unramified Brauer group of the norm one torus R1K/k(Gm) into the construction of a special abelian extension over K. If k=Q and K/Q biquadratic, we explicitly construct the unramified Brauer group of R1K/Q(Gm).
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