5. Write TRUE if the statement is true and FALSE otherwise. Justify your answer. a. All generators of Z35 are prime. b. U (18) is a cyclic group. c. Qis cyclic.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 37E
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5. Write TRUE if the statement is true and FALSE otherwise. Justify your answer.
a. All generators of Z35 are prime.
b. U (18) is a cyclic group.
c. Q is cyclic.
Transcribed Image Text:5. Write TRUE if the statement is true and FALSE otherwise. Justify your answer. a. All generators of Z35 are prime. b. U (18) is a cyclic group. c. Q is cyclic.
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