2 problems

Let $\mathbb{Q}^{\mathrm{ab}}$ be the maximal abelian extension of $\mathbb{Q}$, equivalently the field obtained by adjoining all torsion points of the multiplicative group. A fiel…

Let $\mathbb{K}$ be a number field, let $\Gamma\leq\mathbb{K}^{\times}$ be a non-torsion finitely generated subgroup, and define its divisible hull by … Put…