M. Talbi

activity

20172022

most citedOn a Conjecture of Lemmermeyer

4 citations · 17 across the 11 of their papers we have counts for

collaborators

Showing 2018 · math.NTShow all

4 papers · 2 filters

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★ 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

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