2 problems

Let $L/K$ be a Galois CM-extension with Galois group $G$. Let $S$ be a finite set of places of $K$ containing all ramified and infinite places. For $\alpha\in L^\times$, define…

Let $L/K$ be a Galois CM-extension with Galois group $G$. Let $S$ be a finite set of places of $K$ containing all ramified and infinite places, let $\mathcal A_S$ be the module def…