Question

Show that the group {(1,2,3,4), is cyclic.​

Answer 1

Answer:

You compute the cyclic subgroups of [1, 2, 3, 4, 5, 6] by computing the powers of each element:

1 = {1^1 mod 7 = 1, 1^2 mod 7 = 1, ...}

2 = {2^1 mod 7 = 2, 2^2 mod 7 = 4, ...}

3 = {3, 2, 6, 4, 5, 1}

4 = {4, 2, 1}

5 = {5, 4, 6, 2, 3, 1}

6 = {6,1}

From that you can see that 3 and 5 are cyclic

Step-by-step explanation:

$follow$