Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
We have a short exact sequence $1 \to H \to G \to K \to 1 $, where $H$ and $K$ are $\textbf{abelian}$abelian residually finite groups. My question 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 question 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 abelian residually finite groups. My question is: it is true that $G$ is then a residually finite group?.
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 quiestionquestion is: it is true that G$G$ 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!
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 question is: it is true that $G$ is then a residually finite group?.