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?

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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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?
Transcribed Image Text: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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