Azizi, A. and Zekhnini, A. and Taous, M. (2014) On the strongly ambiguous classes of k/Q(i) where k = Q(√2p 12p2, i). Asian-European Journal of Mathematics, 7 (1).

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Abstract

We construct an infinite family of imaginary bicyclic biquadratic number fields k with the 2-ranks of their 2-class groups are ≥ 3, whose strongly ambiguous classes of k/Q(i) capitulate in the absolute genus field k (*), which is strictly included in the relative genus field (k/Q(i))* and we study the capitulation of the 2-ideal classes of k in its quadratic extensions included in k(*). © World Scientific Publishing Company.

Item Type: Article
Subjects: Mathematics
Divisions: SCIENTIFIC PRODUCTION > Mathematics
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:48
URI: http://eprints.umi.ac.ma/id/eprint/4068

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