S 3 is not the direct product of any family of its proper subgroups. The same is

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S₃ is not the direct product of any family of its proper subgroups. The same is true of Z_pn (p prime, n ≥ 1) and z.

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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 03:08 AM

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S 3 is not the direct product of any family of its proper subgroups. The same is

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To prove that S3 is not the direct product of any family of its proper subgroups we can use contradi...View the full answer

Algebra Graduate Texts In Mathematics 73

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