(a) Determine whether 2 is a primitive element in Z37. (b) Find an element of Z37 that has order 12.

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 3E: 3. Let be an integral domain with positive characteristic. Prove that all nonzero elements of...
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(a) Determine whether 2 is a primitive element in Z37.
(b) Find an element of Z37 that has order 12.
Transcribed Image Text:(a) Determine whether 2 is a primitive element in Z37. (b) Find an element of Z37 that has order 12.
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