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6 papers · 2 filters
On a Conjecture of Lemmermeyer
Siham Aouissi, Mohamed Talbi, Moulay Chrif Ismaili +1
Let be a prime and denote by a primitive third root of unity. Recently, Lemmermeyer presented a conjecture about -class groups of pure cubic…
Structure of relative genus fields of cubic Kummer extensions
Siham Aouissi, Abdelmalek Azizi, Moulay Chrif Ismaili +2
Let be a cubic Kummer extension of the cyclotomic field , containing a primitive cube root of unity , with cube free integer radicand $D>…
Fields whose -class group is of type
Siham Aouissi, Mohamed Talbi, Moulay Chrif Ismaili +1
Let , with a cube-free positive integer. Let be the -component of the class group of . By the aid of g…
p-Rational Fields and the Structure of Some Modules
Abdelaziz El Habibi, M'hammed Ziane
Assume that the field is -rational. We study the freeness of the -module $\mathcal{X}=\mathcal{H}^{ab}=\mathrm{\mathrm{G}al}(K_{S\cup S_p}/K_{\infty,S})^{ab…
The generators of -class group of some fields of degree over
Siham Aouissi, Moulay Chrif Ismaili, Mohamed Talbi +1
Let , where is a prime number such that , and let be the -component of the class gr…
-rank of ambiguous class groups of cubic Kummer extensions
Siham Aouissi, Daniel C. Mayer, Moulay Chrif Ismaili +2
Let be a cubic Kummer extension of with a cube-free integer and a primitive third root of unity. Denote by th…