5 problems

Chabert–Halberstadt's conjecture. If $h_K=2$, then

Chabert–Halberstadt's conjecture.

Let $K$ be an $S_4$-field. The Chabert–Halberstadt conjecture. … Here $\operatorname{Po}(K)$ is the Pólya group of $K$, and $\operatorname{Cl}(K)$ is its ideal class group. The con…

For a number field $K$ Galois over $\mathbb{Q}$, define the relative class group … Here $Cl(K)$ is the ideal class group and $Po(K)$ is the Pólya group of $K$. Infinitude conjectur…

Let $K$ be a number field of degree $n\geq 3$, let $G$ be the Galois group of the normal closure of $K$ over $\mathbb Q$, and let $\mathcal{P}o(K)_{nr}$ be the subgroup of the Póly…