If : G H is a homomorphism with kernel N and K < G, then prove

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If ∫: G → H is a homomorphism with kernel N and K < G, then prove that ∫^-1( ∫(K)) = KN. Hence ∫^-1(∫(K)) = K if and only if N < K.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 13, 2023 03:07 AM

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If : G H is a homomorphism with kernel N and K < G, then prove

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Let G H be a homomorphism with kernel N and K be a subgroup of G First we prove that 1K KN Let k ...View the full answer

Algebra Graduate Texts In Mathematics 73

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