Theorem 15.16

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Statement:

Let $\phi : G \rightarrow G'$ be a group homomorphism. If $N$ is a normal subgroup of $G$, then $\phi [N]$ is a normal subgroup of $\phi [G]$. Also, if $N'$ is a normal subgroup of $\phi [G]$, then $\phi ^{-1} [N']$ is a normal subgroup of $G$.

Proof:

NA

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