Prove or disprove: If $H$ is a normal subgroup of $G$ such that $H$ and $G/H$ are abelian, then $G$ is abelian. (Hint: Think about groups of order $8$.)
Added by -Ngeles G.
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It can be presented with generators r (a rotation) and s (a reflection) satisfying rā“ = e, sĀ² = e, and srs = rā»Ā¹. Show moreā¦
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