Which of the following is a nontrivial subgroup of Z3 × Z3 where Z3 is the additive group of int

Question

Vincenzo Zaccaro · Accepted Answer

Step 1: Check if the subset is closed under the operation (in this case, addition modulo 3).

Which of the following is a nontrivial subgroup of Z3 × Z3 where Z3 is the additive group of integers modulo 3 consisting of {0,1,2} and the Cartesian product is the set of ordered pairs? A {(0,0),(2,2)} B {(0,0),(1,2),(2,1)} C {(0,0),(1,1),(1,2)} D {0,1}