Sur la capitulation des 2-classes d'idéaux du corps Q(\sqrt{2p_1p_2}, i)

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous

Let $p_1$ and $p_2$ be two primes such that $p_1\equiv p_2\equiv 1(\mathrm{mod}4)$ and at least two of the three elements $\{(\frac{2}{p_1}),(\frac{2}{p_2}),(\frac{p_1}{p_2})\}$ are equal…