Subgroup Generated by {4,6} in Z12

[hitmeoff]

Homework Statement

List the elements of the subgroup generated by the given subset:

The subsets {4,6} of Z₁₂

Homework Equations

The Attempt at a Solution

so the GCD of 4 and 12 is 4, 12/4 = 3 elements that <4> generates : {0, 4, 8}
GCD of 6 and 12 is 6, 12/6 = 2 elements that <6> generates : {0, 6}
{4+6} = {10} GCD of 12 and 10 is 2, 12/2 = 6 elements 10 generates : {0, 2, 4, 6, 8, 10}

so {4,6} generates the subgroup {0,2,4,6,8,10} right?

 

[VeeEight]

Looks fine to me.