Exercise 8.3. (a) If H₁ and H₂ are subgroups of groups G₁ and G₂, respectively, prove that H₁ÐH₂ ≤ G₁ G₂. (b) If Hi G, for i = 1,2, N ...., n, prove that H₁ ≤ i=1 n i=1 Gi.

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