the number of generator of cyclic group of order 5 is
Answer (1)
20th Dec, 2019
The number of generators of a cyclic group of order 'n' is the number of elements less than n but greater than or equal to 1, which are also coprime to n.
Here, n=5.
So all the numbers less than 5 but greater than equal to 1, which are also coprime (HCF of 5 and that number is 1) to 5 are: 1, 2, 3, 4.
That is, 4 numbers. So the number of generators of cyclic group of order 5 is 4.
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