Let [g] be an element of order 180 in Z181.Let a be a non-zero element of Z181, what are the possible orders of a?When is an element of Z181 said to be a primitive root?

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 13E

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et [g] be an element of order 180 in Z181. Let [a] be a non-zero element of Z181, what are the possible orders of [a]? When is an element of Z181 said to be a primitive root?