M. C. Ismaili

activity

20182021

most citedStructure of relative genus fields of cubic Kummer extensions

6 citations · 20 across the 8 of their papers we have counts for

collaborators

8 papers

math.NT2021★ 1 cited

$3$ -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.NT2020

The generators of $5$ -class group of some fields of degree 20 over $Q$

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. Let $k_{0} = Q (ζ_{5})$ be the cyclotomic field containing…

math.NT2019★ 2 cited

Principal factors and lattice minima

Siham Aouissi, Abdelmalek Azizi, Moulay Chrif Ismaili +2

Let $k = Q (3 d, ζ_{3})$ , where $d > 1$ is a cube-free positive integer, $k_{0} = Q (ζ_{3})$ be the cyclotomic field containing a primitive cube root o…

math.NT2018★ 4 cited

On a Conjecture of Lemmermeyer

Siham Aouissi, Mohamed Talbi, Moulay Chrif Ismaili +1

Let $p \equiv 1 (mod 3)$ be a prime and denote by $ζ_{3}$ a primitive third root of unity. Recently, Lemmermeyer presented a conjecture about $3$ -class groups of pure cubic…

math.NT2018★ 6 cited

Structure of relative genus fields of cubic Kummer extensions

Siham Aouissi, Abdelmalek Azizi, Moulay Chrif Ismaili +2

Let $N = K (3 D)$ be a cubic Kummer extension of the cyclotomic field $K = Q (ζ_{3})$ , containing a primitive cube root of unity $ζ_{3}$ , with cube free integer radicand $D>…

math.NT2018★ 2 cited

Fields $Q (3 d, ζ_{3})$ whose $3$ -class group is of type $(9, 3)$

Siham Aouissi, Mohamed Talbi, Moulay Chrif Ismaili +1

Let $k = Q (3 d, ζ_{3})$ , with $d$ a cube-free positive integer. Let $C_{k, 3}$ be the $3$ -component of the class group of $k$ . By the aid of g…

math.NT2018★ 1 cited

The generators of $3$ -class group of some fields of degree $6$ over $Q$

Siham Aouissi, Moulay Chrif Ismaili, Mohamed Talbi +1

Let $k = Q (3 p, ζ_{3})$ , where $p$ is a prime number such that $p \equiv 1 (mod 9)$ , and let $C_{k, 3}$ be the $3$ -component of the class gr…

math.NT2018★ 4 cited

$3$ -rank of ambiguous class groups of cubic Kummer extensions

Siham Aouissi, Daniel C. Mayer, Moulay Chrif Ismaili +2

Let $k = k_{0} (3 d)$ be a cubic Kummer extension of $k_{0} = Q (ζ_{3})$ with $d > 1$ a cube-free integer and $ζ_{3}$ a primitive third root of unity. Denote by $C_{k, 3}^{(σ)}$ th…

3-Principalization over S3​-fields

The generators of 5-class group of some fields of degree 20 over Q