If G,H,K and J are groups such that GH X Kand G ,..._, H X K and

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If G,H,K and J are groups such that G⊕H X Kand G ,..._, H X K and G satisfies both the ACC and DCC on normal subgroups, then K⊕J.

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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 15, 2023 03:51 AM

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If G,H,K and J are groups such that GH X Kand G ,..._, H X K and

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Note that since G H X K we have an isomorphism G H G H Therefore we can write G H X K instead of G H ...View the full answer

Algebra Graduate Texts In Mathematics 73

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