(a) If p is an odd prime and n > 0, then the multiplicative group of units...

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(a) If p is an odd prime and n > 0, then the multiplicative group of units in the ring Z_pn is cyclic of order p^n-1(p - 1).

(b) Part (a) is also true if p = 2 and 1 ≤ n ≤ 2.

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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 20, 2023 02:47 AM

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(a) If p is an odd prime and n > 0, then the multiplicative group of units...

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Statement a states that the multiplicative group of units in the ring Zpn where p is an odd prime an...View the full answer

Algebra Graduate Texts In Mathematics 73

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