## If Quotient $G/H$ is Abelian Group and $H < K \triangleleft G$, then $G/K$ is Abelian

## Problem 341

Let $H$ and $K$ be normal subgroups of a group $G$.

Suppose that $H < K$ and the quotient group $G/H$ is abelian.

Then prove that $G/K$ is also an abelian group.