On the capitulation problem of some pure metacyclic fields of degree 20 II

Fouad Elmouhib, Mohemed Talbi, Abdelmalek Azizi

Let $n$ be a $5^{th}$ power-free naturel number and $k_0=\mathbb{Q}({\zeta }_5)$ be the cyclotomic field generated by a primitive $5^{th}$ root of unity ${\zeta }_5$. Then $k\,=\,\mathbb{Q}(…