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?
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8260224-635c-426e-a960-28f2cf28de1f%2Fefef719e-7896-4d42-a3af-1e031cff114d%2Fuz1oe4m_processed.png&w=3840&q=75)
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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