We have a short exact sequence $1 \to H \to G \to K \to 1 $, where $H$ and $K$ are $\textbf{abelian}$ residually finite groups. My quiestion is: it is true that G is then a residually finite group?.
Thanks and Besties!
We have a short exact sequence $1 \to H \to G \to K \to 1 $, where $H$ and $K$ are $\textbf{abelian}$ residually finite groups. My quiestion is: it is true that G is then a residually finite group?.
Thanks and Besties!