Question

List every generator of each subgroup of order 8 in Z32. Please anyone understand abstract algebra

Answer 1

Have you tried anything with this problem so far? I haven't done a lot with abstract algebra but I'll try to help with what I can find/remember...

Answer 2

Ya I found a kind of similar question on google and tried solving it the same way so idk of my answer is correct.

my answer is that you have to find the gcd(32,x) =4 since 32/8=4 and those will be the possible generator

Answer 3

I think that indeed works, after testing out 4 and 12 as potential generators of order 8.

Answer 4

Thank youu