Azizi, A. and Taous, M. and Zekhnini, A.
(2014)
*On the rank of the 2-class group of ℚ(√p, √q, √-1).*
Periodica Mathematica Hungarica, 69 (2).
pp. 231-238.

Official URL: https://www.scopus.com/inward/record.uri?eid=2-s2....

## Abstract

Let d be a square-free integer, k = ℚ(√d, i) and i = √-1. Let k1(2) be the Hilbert 2-class field of k, k2(2)be the Hilbert 2-class field of k1(2) and G = Gal(k2(2)/k) be the Galois group of k2(2)/k. We give necessary and sufficient conditions to have G metacyclic in the case where d = pq, with p and q primes such that p ≡ 1 (mod 8) and q ≡ 5 (mod 8) or p ≡ 1 (mod 8) and q ≡ 3 (mod 4). © Akadémiai Kiadó, 2014.

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/4065 |

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