Let $A,B$ be finitely generated residually finite groups such that $\text{Out}(A)$ and $\text{Out}(B)$ are residually finite.
Is $\text{Out}(A \times B)$ residually finite?
Let $A,B$ be finitely generated residually finite groups such that $\text{Out}(A)$ and $\text{Out}(B)$ are residually finite.
Is $\text{Out}(A \times B)$ residually finite?
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