Let K and L be normal subgroups of G with K v L = G, and K

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Let K and L be normal subgroups of G with K v L = G, and K ∩ L = {e}. Show that G/ K ≈ L and G/L ≈ K.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 09, 2023 08:34 AM

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Let K and L be normal subgroups of G with K v L = G, and K

Question:

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By Lemma 344 we know that K L KL LK so G KL LK By Theorem 345 GL KLL KK L Ke K Simila...View the full answer

A First Course In Abstract Algebra

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