The super approximation property of ${\mathrm{SL}}_2(\mathbb{Z}/q\mathbb{Z})\times {\mathrm{SL}}_2(\mathbb{Z}/q\mathbb{Z})\times {\mathrm{SL}}_2(\mathbb{Z}/q\mathbb{Z})$

Chong Zhang

Take $S\subset {\mathrm{SL}}_2(\mathbb{Z})\times {\mathrm{SL}}_2(\mathbb{Z})\times {\mathrm{SL}}_2(\mathbb{Z})$ be finite symmetric and assume $S$ generates a group $G$ which is Zarisk…