I am trying to show that if $N$ is a normal subgroup of $G$ that is soluble and $G/N$ is soluble then so is $G$.
I am wondering whether it has something to do with the isomorphism theorem for groups. But I can’t think of how to do it.
I am trying to show that if $N$ is a normal subgroup of $G$ that is soluble and $G/N$ is soluble then so is $G$.
I am wondering whether it has something to do with the isomorphism theorem for groups. But I can’t think of how to do it.
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