Fouad Elmouhib

activity

20202022

collaborators

5 papers

math.NT2022

On the exact divisibility by $5$ of the class number of some pure metacyclic fields

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $Γ = Q (5 n)$ be a pure quintic field, where $n$ is a natural number $5^{t h}$ power-free. Let $k = Q (5 n, ζ_{5})$ , with $ζ_{5}$ is a primitive $…

math.NT2022

On some realizable metabelian $5$ -groups

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $G$ be a $5$ -group of maximal class and $γ_{2} (G) = [G, G]$ its derived group. Assume that the abelianization $G / γ_{2} (G)$ is of type $(5, 5)$ and the transfers $V_{H_{1} \to γ_{2} (G)}$ …

math.NT2021

On the capitulation problem of some pure metacyclic fields of degree 20 II

Fouad Elmouhib, Mohemed Talbi, Abdelmalek Azizi

Let $n$ be a $5^{t h}$ power-free naturel number and $k_{0} = Q (ζ_{5})$ be the cyclotomic field generated by a primitive $5^{t h}$ root of unity $ζ_{5}$ . Then $k\,=\,\mathbb{Q}(…

math.NT2020

On the capitulation problem of some pure metacyclic fields of degree 20

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $Γ = Q (5 n)$ be a pure quintic field, where $n$ is a positive integer $5^{t h}$ power-free, $k_{0} = Q (ζ_{5})$ be the cyclotomic field containing a pr…

math.NT2020

$5$ -rank of ambiguous class groups of quintic Kummer extensions

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $k = Q (5 n, ζ_{5})$ , where $n$ is a positive integer, $5^{t h}$ power-free, whose $5 -$ class group is isomorphic to $\mathbb{Z}/5\mathbb{Z}\times\mathbb{Z}/5\ma…

On the exact divisibility by 5 of the class number of some pure metacyclic fields

On some realizable metabelian 5-groups

On the capitulation problem of some pure metacyclic fields of degree 20 II

On the capitulation problem of some pure metacyclic fields of degree 20

5-rank of ambiguous class groups of quintic Kummer extensions

On the exact divisibility by $5$ of the class number of some pure metacyclic fields

On some realizable metabelian $5$ -groups

$5$ -rank of ambiguous class groups of quintic Kummer extensions