Question

If g ia cyclic group order 97. Then the number of generator of g is equal to

Answer 1

Answer: The answer is 96.

Step-by-step explanation:  Given that 'g' is a cyclic group of order 97. We are to find the number of generators of 'g'.

We know that, if 'p' is the order of a cyclic group, where 'p' is a prime number, then the group has (p-1) generators.

Since the given group 'g' is cyclic and its order is 97, which is a prime number, so the number of generators of 'g' = 97 - 1 = 96.

Thus, the answer is 96.