Computer Sciences > Gate 2022 > Group
Which of the following statements is/are TRUE for a group G ?
A
If for all x, y ∈ G, (xy)2 = x2 y2 then G is commutative.
B
If for all x ∈ G, x2= 1, then G is commutative. Here, 1 is the identity element of G.
C
If the order of G is 2, then G is commutative.
D
If G is commutative, then a subgroup of G need not be commutative.

Correct : a,b,c

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