GATE Computer Science (CS) 2022 Shift 1 Solved Paper

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Question : 65 of 65

Marks: +1, -0

Which of the following statements is/are TRUE for a group G ?

If for all x, y ∈ G, (xy)2 = x2y2, then G is commutative.
If for all x ∈ G, x2 = 1, then G is commutative. Here, 1 is the identity element of G.
If the order of G is 2, then G is commutative.
If G is commutative, then a subgroup of G need not be commutative

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