Abdelaziz El Habibi

collaborators

2 papers

math.NT2022

Mild pro- $p$ -groups and $p$ -extensions of imaginary quadratic fields with non-trivial $p$ -class group

Zakariae Bouazzaoui, Abdelaziz El Habibi

Let $k$ be an imaginary quadratic field and $p$ an odd prime number such that the $p$ -rank of the class group of $k$ is one. Let $S$ be a finite set of places of $k$ distinct from…

math.NT2018

p-Rational Fields and the Structure of Some Modules

Abdelaziz El Habibi, M'hammed Ziane

Assume that the field $K$ is $p$ -rational. We study the freeness of the $Λ (G_{\infty, S})$ -module $\mathcal{X}=\mathcal{H}^{ab}=\mathrm{\mathrm{G}al}(K_{S\cup S_p}/K_{\infty,S})^{ab…

Mild pro-p-groups and p-extensions of imaginary quadratic fields with non-trivial p-class group

p-Rational Fields and the Structure of Some Modules

Mild pro- $p$ -groups and $p$ -extensions of imaginary quadratic fields with non-trivial $p$ -class group