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Unités elliptiques et groupes de classes

Mohamed Charkani El Hassani, Roland Gillard (1986)

Annales de l'institut Fourier

Nous étudions les extensions abéliennes d’un corps quadratique imaginaire et discutons les analogues des théorèmes de Mazur et Wiles.

Unramified quaternion extensions of quadratic number fields

Franz Lemmermeyer (1997)

Journal de théorie des nombres de Bordeaux

Classical results of Rédei, Reichardt and Scholz show that unramified cyclic quartic extensions of quadratic number fields k correspond to certain factorizations of its discriminant disc k . In this paper we extend their results to unramified quaternion extensions of k which are normal over , and show how to construct them explicitly.

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