Mathematics – Number Theory
Scientific paper
2012-02-21
Mathematics
Number Theory
14 pages
Scientific paper
Let k be a number field and K/k Galois. We transform the construction of the
unramified Brauer group of the norm one torus R^1_K/k(G_m) 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 R^1_K/Q(G_m).
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