A) The set of all fourth roots of unity is a multiplicative group
B) The set of all cube roots of unity is an additive group
C) \[{{(ab)}^{-1}}={{a}^{-1}}{{b}^{-1}}\] for all a, b in any group G
D) If \[{{(ab)}^{2}}={{a}^{2}}{{b}^{2}}\] for all a, b in any group G, then the group G is non abelian
Correct Answer: A
Solution :
The set of all fourth roots of unity is a multiplicative group is correct. \[\therefore \] option a is correct.
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