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Sur le 2-groupe de classes d'idéaux de ℚ(√d,i)

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Abstract

Let ℕ,i=√−1,k=ℚ(√d,i) andC 2 the 2-part of the class group ofk. Our goal is to determine alld such thatC 2⋍ℤ/2ℤ×ℤ/2ℤ.

Soientd∈ℕ,i=√−1,k=ℚ(√d,i), etC 2 la 2-partie du groupe de classes dek. On s'intéresse à déterminer tous lesd tel queC 2⋍ℤ/2ℤ×ℤ/2ℤ.

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  1. Département de Mathématiques Faculté des Sciences, Université Mohamed 1 Oujda, Maroc

    Abdelmalek Azizi

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  1. Abdelmalek Azizi
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Azizi, A. Sur le 2-groupe de classes d'idéaux de ℚ(√d,i). Rend. Circ. Mat. Palermo 48, 71–92 (1999). https://doi.org/10.1007/BF02844380

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  • DOI: https://doi.org/10.1007/BF02844380

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