Find the order of the cyclic group Please explain in detailS

Find the order of the cyclic group:

Please explain in detail!

Solution

Since 3 can generate all the elements of the group i.e. {0,1,2,3}, hence the order of 3 is equal to 4 (under the addition)

Addition 0 1 2 3
0 0 1 2 3
1 1 2 3 0
2 2 3 0 1
3 3 0 1 2
Find the order of the cyclic group: Please explain in detail!SolutionSince 3 can generate all the elements of the group i.e. {0,1,2,3}, hence the order of 3 is

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