On the structure of the second 2-class group of some special Dirichlet fields
Let k be a number field and k2(1) (respectively, k2(2)) its first (respectively, second) Hilbert 2-class field. Let G = Gal(k2(2)/k) be the Galois group of k2(2)/k. The purpose of this note is to determine the structure of G for some special Dirichlet fields k = Q(d,-1).
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