M. Taous

activity

20152020

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

for some fields

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

12 citations · 23 across the 5 of their papers we have counts for

collaborators

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8 papers · 1 filter

math.NT2020

On quaternion algebras over some extensions of quadratic number fields

Vincenzo Acciaro, Diana Savin, Mohammed Taous +1

Let $p$ and $q$ be two positive primes. Let $ℓ$ be an odd positive prime integer and $F$ a quadratic number field. Let $K$ be an extension of $F$ such that $K$ is a dihedral ext…

math.NT2019

On the 2-rank and 4-rank of the class group of some real pure quartic number fields

Mbarek Haynou, Mohammed Taous

Let $K = Q (4 p d^{2})$ be a real pure quartic number field and $k = Q (p)$ its real quadratic subfield, where $p \equiv 5 (mod 8)$ is a prime integer and $…

math.NT2019★ 1 cited

On quaternion algebras that split over quadratic number fields

Vincenzo Acciaro, Diana Savin, Mohammed Taous +1

Let $d$ and $m$ be two distinct squarefree integers and $O_{K}$ the ring of integers of the quadratic field $K = Q (d)$ . Denote by $H_{K} (α, m)$ a quaternion al…

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…

On quaternion algebras over some extensions of quadratic number fields

On the 2-rank and 4-rank of the class group of some real pure quartic number fields

On quaternion algebras that split over quadratic number fields

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​)

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