Let G and G' be groups, and let H and H' be normal subgroups of G and
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Let G and G' be groups, and let H and H' be normal subgroups of G and G', respectively. Let ∅ be a homomorphism of G into G'. Show that ∅ induces a natural homomorphism ∅* : (G/ H) → (G' / H') if ∅[HJ ⊆ H'.
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