M. Taous

activity

20142021

G a l (k_{2}^{(2)} / k)

for some fields

k = Q (2 p_{1} p_{2}, - 1)

12 citations · 25 across the 11 of their papers we have counts for

collaborators

Showing 2015Show all

5 papers · 1 filter

math.NT2015★ 1 cited

Capitulation in the absolutely abelian extensions of some fields $Q (p_{1} p_{2} q, - 1)$

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous

We study the capitulation of $2$ -ideal classes of an infinite family of imaginary bicyclic biquadratic number fields consisting of fields $\mathbf{k} =\mathbb{Q}(\sqrt{p_1p_2q}, i)…

math.NT2015★ 12 cited

Structure of $G a l (k_{2}^{(2)} / k)$ for some fields $k = Q (2 p_{1} p_{2}, - 1)$

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous

Let $p_{1} \equiv p_{2} \equiv 5 (mod 8)$ be different primes. Put $i = - 1$ and $d = 2 p_{1} p_{2}$ , then the bicyclic biquadratic field $k = Q (d, - 1)$ has an elementary abelian…

math.NT2015★ 5 cited

On the strongly ambiguous classes of $k / Q (- 1)$ where $k = Q (2 p_{1} p_{2}, - 1)$

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous

We construct an infinite family of imaginary bicyclic biquadratic number fields $k$ with the 2-ranks of their 2-class groups are $\geq 3$ , whose strongly ambiguous classes of $k/Q(i…

math.NT2015

On the strongly ambiguous classes of some biquadratic number fields

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous

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

math.NT2015★ 4 cited

On some metabelian 2-group whose abelianization is of type (2, 2, 2) and applications

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous

Let $G$ be some metabelian $2$ -group satisfying the condition $G / G^{'} ≃ Z /2 Z \times Z /2 Z \times Z /2 Z$ . In this paper, we constru…

Capitulation in the absolutely abelian extensions of some fields Q(p1​p2​q​,−1​)

Structure of Gal(k2(2)​/k) for some fields k=Q(2p1​p2​​,−1​)

On the strongly ambiguous classes of k/Q(−1​) where k=Q(2p1​p2​​,−1​)

On the strongly ambiguous classes of some biquadratic number fields

On some metabelian 2-group whose abelianization is of type (2, 2, 2) and applications

Capitulation in the absolutely abelian extensions of some fields $Q (p_{1} p_{2} q, - 1)$

Structure of $G a l (k_{2}^{(2)} / k)$ for some fields $k = Q (2 p_{1} p_{2}, - 1)$

On the strongly ambiguous classes of $k / Q (- 1)$ where $k = Q (2 p_{1} p_{2}, - 1)$