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Let $k$ be a number field with a 2-class group isomorphic to the Klein four-group. The aim of this paper is to give a characterization of capitulation types using group properties. Furthermore, as applications, we determine the structure of the second 2-class groups of some special Dirichlet fields $𝕜 = ℚ (\sqrt{d}, \sqrt{- 1})$ , which leads to a correction of some parts in the main results of A. Azizi and A. Zekhini (2020).

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Neubegründung der Klassenkörpertheorie.

Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire

Norm distribution in Galois orbits.

Norm limitation theorems of class field theory.

Norms in finite Galois extensions of the rationals.

Note on an index formula of elliptic units in a ring class field II

Note on the Hilbert 2-class field tower

Currently displaying 1 – 7 of 7