A parametrization of $3$-class groups of quadratic rings over Dedekind domains

Eliot Hodges, Ashvin A. Swaminathan

Let $R$ be a Dedekind domain with field of fractions $K$ and $\mathrm{char}(R)\ne 3$. In this paper, we generalize Bhargava's parametrization of $3$-torsion ideal classes by…