Azizi, A. and Zekhnini, A. and Taous, M. (2014) Structure of Gal (formula presented) for some fields (formula presented) with (formula presented). Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 84 (2). pp. 203-231.

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Abstract

Let p1 ≡ p2 ≡ 5 be different primes. Put (formula presented) and, then the bicyclic biquadratic field (formula presented) has an elementary abelian 2-class group of rank 3. In this paper we determine the nilpotency class, the coclass, the generators and the structure of the non-abelian Galois group Gal (formula presented) of the second Hilbert 2-class field. (formula presented) We study the capitulation problem of the 2-classes of K and in its seven unramified bicyclic biquadratic extensions Li © 2014, Mathematisches Seminar der Universität Hamburg and Springer-Verlag Berlin Heidelberg.

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/4064

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