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If (M, *) is a cyclic group of order 73, then number of generator of G is equal to ______(a) 89(b) 23(c) 72(d) 17I have been asked this question in an online quiz.Enquiry is from Groups topic in section Groups of Discrete Mathematics

Answer»

The correct answer is (c) 72

The explanation: We need to find the NUMBER of co-primes of 73 which are LESS than 73. As 73 itself is a prime, all the numbers less than that are co-prime to it and it makes a group of order 72 then it can be of {1, 3, 5, 7, 11….}.



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