A. Zekhnini

activity

20142023

2

-class field towers of some multiquadratic number fields

19 citations · 63 across the 15 of their papers we have counts for

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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…

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 $Q (p, q, - 1)$