Abelianization of ${\text{SL}}_2$ over Dedekind domains of arithmetic type

Behrooz Mirzaii, Bruno R. Ramos, Thiago Verissimo

We determine the exact group structure of the abelianization of ${\text{SL}}_2(A)$, where $A$ is a Dedekind domain of arithmetic type with infinitely many units. In particular, our r…