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math.NT2022
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 $…
math.NT2022
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 …