Azizi, A. and Zekhnini, A. and Taous, M.
(2014)
*On the 2-class field tower of ℚ(√2p1p2, i) and the Galois group of its second Hilbert 2-class field.*
Collectanea Mathematica, 65 (1).
pp. 131-141.

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

## Abstract

Let p1 and p2 be primes such that p1 ≡ p2 ≡ 5 (mod 8), i = √-1, d = 2p1p2, K = ℚ(√d, i), K2(1) be the Hilbert 2-class field of K, K2(2) be the Hilbert 2-class field of K2(1), G be the Galois group of K2(2)/K and K(*) = ℚ(√p1, √p2, √2, i) be the genus field of K. The 2-part CK, 2 of the class group of K is of type (2, 2, 2). Our goal is to study the 2-class field tower of K and to calculate the order of G. © 2013 Universitat de Barcelona.

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/4079 |

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