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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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 02, 2023 04:46 AM

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Let G and G' be groups, and let H and H' be normal subgroups of G and

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For gH GH let gH gH Because we defined using the re...View the full answer

A First Course In Abstract Algebra

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