Prove that 𝐺 ⊕ 𝐻 is Abelian iff 𝐺 and 𝐻 are Abelian.
Added by Karl D.
Step 1
We need to prove that the direct sum of two groups \( G \) and \( H \), denoted \( G \oplus H \), is Abelian if and only if both \( G \) and \( H \) are Abelian. Show more…
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