Azizi, A. and Zekhnini, A. and Taous, M.
(2017)
*Capitulation in the Absolutely Abelian Extensions of some Number Fields II.*
Acta Mathematica Vietnamica, 42 (1).
pp. 81-97.

## Abstract

We study the capitulation of 2-ideal classes of an infinite family of imaginary biquadratic number fields consisting of fields k=ℚ(√pq1q2,i), where i=√−1 and q1≡q2≡−p≡−1 (mod 4) are different primes. For each of the three quadratic extensions K/ k inside the absolute genus field k(∗) of k, we compute the capitulation kernel of K/ k. Then we deduce that each strongly ambiguous class of k/ ℚ(i) capitulates already in k(∗). © 2016, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.

Item Type: | Article |
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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/3950 |

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