Azizi, A. and Zekhnini, A. and Taous, M. (2016) Capitulation in Abelian extensions of some fields ℚ (√p 1 p 2 q, i). In: UNSPECIFIED.

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Abstract

We study the capitulation of the 2-ideal classes of an infinite family of imaginary biquadratic number fields consisting of fields k=ℚ (√p1p2q,i), where √i=-1 and p1 p2 -q 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(∗), which is smaller than the relative genus field (k/ℚ (i)) ∗. © 2016 AIP Publishing LLC.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: Physics and Astronomy
Divisions: SCIENTIFIC PRODUCTION > Physics and Astronomy
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:49
URI: http://eprints.umi.ac.ma/id/eprint/4471

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