Abdelkader Zekhnini

most citedPrincipalization of

2

-class groups of type

(2, 2, 2)

of biquadratic fields $\mathbb{Q}\left(\sqrt{\strut p_1p_2q},\sqrt{\strut -1}\right)$

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2016

Capitulation in the absolutely abelian extensions of some number fields II

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous

We study the capitulation of $2$ -ideal classes of an infinite family of imaginary biquadratic number fields consisting of fields $k = Q (p q_{1} q_{2}, i)$ , where $i = - 1$ and…

math.NT2014★ 2 cited

Principalization of $2$ -class groups of type $(2, 2, 2)$ of biquadratic fields $\mathbb{Q}\left(\sqrt{\strut p_1p_2q},\sqrt{\strut -1}\right)$

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous +1

Let $p_{1} \equiv p_{2} \equiv - q \equiv 1 (mod 4)$ be different primes such that $\displaystyle\left(\frac{2}{p_1}\right)= \displaystyle\left(\frac{2}{p_2}\right)=\displaystyle\left(\frac{…

math.NT2014

On the rank of the $2$ -class group of $Q (p, q, - 1)$

Abdelmalek Azizi Mohammed Taous, Abdelkader Zekhnini

Let $d$ be a square-free integer, $k = Q (d, i)$ and $i = - 1$ . Let $k_{1}^{(2)}$ be the Hilbert $2$ -class field of $k$ , $\mathbf{k}_2^{(2…

Capitulation in the absolutely abelian extensions of some number fields II

Principalization of 2-class groups of type (2,2,2) of biquadratic fields $\mathbb{Q}\left(\sqrt{\strut p_1p_2q},\sqrt{\strut -1}\right)$

On the rank of the 2-class group of Q(p​,q​,−1​)

Principalization of $2$ -class groups of type $(2, 2, 2)$ of biquadratic fields $\mathbb{Q}\left(\sqrt{\strut p_1p_2q},\sqrt{\strut -1}\right)$

On the rank of the $2$ -class group of $Q (p, q, - 1)$