- #1
FanofAFan
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Homework Statement
Find all of the subgroups of Z3 x Z3
Homework Equations
Z3 x Z3 is isomorphic to Z9
The Attempt at a Solution
x = (0,1,2,3,4,5,6,7,8)
<x0> or just <0> = {0}
<1> = {identity}
<2> = {0,2,4,6} also wasn't sure if I did this one correctly x o x for x2
<3> = {0,3,6}
and so on until I got
<8> = {0,8}
<9> = {0}
I feel like I might be completely wrong but is this even a cyclic group, and do I need to approach finding the subgroups differently? Thanks