Ali Mouhib

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Let K be a biquadratic field, K (1) 2 be the Hilbert 2-class field of K and K (2) 2 be the Hilbert 2-class field of K (1) 2 . Our goal is to prove that there exists a biquadratic field K such that Gal (K (1) 2 /K) ≃ Z/2Z × Z/2Z and the group Gal (K (2) 2 /K) is semi-dihedral. Résumé. Soient K un corps biquadratique, K (1) 2 le 2-corps de classes de Hilbert(More)
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