S. Aouissi

activity

20182025

most citedStructure of relative genus fields of cubic Kummer extensions

6 citations · 24 across the 12 of their papers we have counts for

collaborators

12 papers

math.NT2025

Coclass of the second 3-class group

Siham Aouissi, Daniel C. Mayer

By means of parametrized presentations of finite metabelian 3-groups, it is proved that the coclass cc(M) of the second 3-class group M=Gal(F_3^2(K)/K) of any algebraic number fiel…

math.NT2025★ 1 cited

The Capitulation Problem in Certain Pure Cubic Fields

Siham Aouissi, Daniel C. Mayer

Let $Γ=\mathbb{Q}(\sqrt[3]{n})$ be a pure cubic field with normal closure $k=\mathbb{Q}(\sqrt[3]{n},ζ)$, where $n>1$ denotes a cube free integer, and $ζ$ is a primitive cub…

math.NT2024

Group theory of cyclic cubic number fields

Daniel C. Mayer, Siham Aouissi, Bill Allombert +1

Astonishing new discoveries with quartets and octets of cyclic cubic fields sharing a common conductor are presented. Four kinds of graphs describing cubic residue conditions among…

math.NT2023★ 3 cited

Group theoretic approach to cyclic cubic fields

Siham Aouissi, Daniel C. Mayer

Let (k1,k2,k3,k4) be a quartet of cyclic cubic number fields sharing a common conductor c=pqr divisible by exactly three prime(power)s p,q,r. For those components k of the quartet…

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…

Coclass of the second 3-class group

The Capitulation Problem in Certain Pure Cubic Fields

Group theory of cyclic cubic number fields

Group theoretic approach to cyclic cubic fields

3-Principalization over S3​-fields

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

Principal factors and lattice minima

On a Conjecture of Lemmermeyer

Structure of relative genus fields of cubic Kummer extensions

Fields Q(3d​,ζ3​) whose 3-class group is of type (9,3)

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

3-rank of ambiguous class groups of cubic Kummer extensions

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

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

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

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

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