A. Azizi

activity

20152022

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

for some fields

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

12 citations · 18 across the 8 of their papers we have counts for

collaborators

Showing 2015 · math.NTShow all

4 papers · 2 filters

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…

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

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