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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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
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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