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.

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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
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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