12 citations · 18 across the 7 of their papers we have counts for
14 papers
On the exact divisibility by of the class number of some pure metacyclic fields
Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi
Let be a pure quintic field, where is a natural number power-free. Let , with is a primitive $…
On some realizable metabelian -groups
Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi
Let be a -group of maximal class and its derived group. Assume that the abelianization is of type and the transfers …
On the capitulation problem of some pure metacyclic fields of degree 20 II
Fouad Elmouhib, Mohemed Talbi, Abdelmalek Azizi
Let be a power-free naturel number and be the cyclotomic field generated by a primitive root of unity . Then $k\,=\,\mathbb{Q}(…
On the capitulation problem of some pure metacyclic fields of degree 20
Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi
Let be a pure quintic field, where is a positive integer power-free, be the cyclotomic field containing a pr…
The 2-rank of the class group of some real cyclic quartic number fields II
Abdelmalek Azizi, Mohammed Tamimi, Abdelkader Zekhnini
In this paper, we determine the 2-rank of the class group of certain classes of real cyclic quartic number fields. Precisely, we consider the case in which the quadratic subfield i…
The 2-rank of the class group of some real cyclic quartic number fields
Abdelmalek Azizi, Mohammed Tamimi, Abdelkader Zekhnini
In this paper, we investigate the 2-rank of the class group of some real cyclic quartic number fields. Precisely, we consider the case where the quadratic subfield is Q(\sqrt{l}) w…