3 problems

Let $F=\mathbb{Q}(\sqrt{d})$ be a real quadratic field with fundamental discriminant $d>1$, $3$-class group $\operatorname{Cl}_3(F)\simeq C_3\times C_3$, shallow transfer kernel ty…

An IPAD is the invariant displayed in the source in the form of an abelianization together with the corresponding abelianizations of selected index subgroups. The notation…

Let $G$ be a finitely generated pro-$p$ group. Let $\operatorname{Freq}(G)$ denote its limiting frequency among imaginary quadratic fields, and let $\operatorname{Meas}(G)$ denote…