On the 2-rank and 4-rank of the class group of some real pure quartic number fields

Mbarek Haynou, Mohammed Taous

Let $K=\mathbb{Q}(\sqrt[4]{p{d}^2})$ be a real pure quartic number field and $k=\mathbb{Q}(\sqrt{p})$ its real quadratic subfield, where $p\equiv 5(\mathrm{mod}8)$ is a prime integer and $…