If : G 1 G 2 and g: H 1 H 2 are homomorphisms of

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If ∫: G1 → G2 and g: H1 → H2 are homomorphisms of groups, then there is a unique homomorphism h : G1 * H1 → G2 * H2 such that h|G1 = ∫ and h| H1 = g.

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