M. Talbi

activity

20172022

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4 papers · 1 filter

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

$3$ -Principalization over $S_{3}$ -fields

Siham Aouissi, Mohamed Talbi, Daniel C. Mayer +1

Let $p \equiv 1 (mod 9)$ be a prime number and $ζ_{3}$ be a primitive cube root of unity. Then $k = Q (3 p, ζ_{3})$ is a pure metacyclic field with grou…

math.NT2019

5-Class towers of cyclic quartic fields arising from quintic reflection

Abdelmalek Azizi, Yasuhiro Kishi, Daniel C. Mayer +2

Let zeta5 be a primitive fifth root of unity and d<>1 be a quadratic fundamental discriminant not divisible by 5. For the 5-dual cyclic quartic field M=Q((zeta5-zeta5^-1)*d^1/2) of…

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

On some realizable metabelian 5-groups

3-Principalization over S3​-fields

5-Class towers of cyclic quartic fields arising from quintic reflection

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

On some realizable metabelian $5$ -groups

$3$ -Principalization over $S_{3}$ -fields