If H is a subgroup of Z(p) and H Z(p), then Z(p)/ H Z(p).

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If H is a subgroup of Z(p∞) and H ≠ Z(p∞), then Z(p∞)/ H ≅ Z(p∞).

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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 H is a subgroup of Z(p) and H Z(p), then Z(p)/ H Z(p).

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Here Zp denotes the additive group of integers modulo pn for all n1 where p is a prime number To pro...View the full answer

Algebra Graduate Texts In Mathematics 73

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