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Find the order of the group G = ?(a) 12(b) 8(c) 13(d) 11The question was posed to me in unit test.The origin of the question is Number Theory in section More Number Theory of Cryptograph & Network Security

Answer»

The correct option is (a) 12

Best explanation: |G| = f(21) = f(3) × f(7) = 2 × 6 =12

There are 12 elements in this group:

G = = {1, 2, 4, 5, 8, 10, 11, 13, 16, 17, 19, 20}. All are relatively prime with 21.



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