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 |
