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

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Showing 2018Show all

5 papers · 1 filter

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…

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

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