On Pro-$2$ Identities of $2\times 2$ Linear Groups

David El-Chai Ben-Ezra, Efim Zelmanov

Let $\hat{F}$ be a free pro-$p$ non-abelian group, and let $\Delta$ be a commutative Noetherian complete local ring with a maximal ideal $I$ such that $\text{char}(\Delta /I)=p>0$. In [Zu],…