Q17MSQ1 markWhich of the following statements is/are TRUE\text{TRUE}TRUE for a group G?\textit{G}?G?(A)If for all x,y∈G, (xy)2=x2y2,x,y \in \textit{G}, \; (xy)^{2} = x^{2} y^{2},x,y∈G,(xy)2=x2y2, then G\textit{G}G is commutative.(B)If for all x∈G, x2=1,x \in \textit{G}, \; x^{2} = 1,x∈G,x2=1, then G\textit{G}G is commutative. Here, 111 is the identity element of G.\textit{G}.G.(C)If the order of G\textit{G}G is 2,2,2, then G\textit{G}G is commutative.(D)If G\textit{G}G is commutative, then a subgroup of G\textit{G}G need not be commutative.Sign in to save attempts.Show answer← PreviousNext →SolutionsDiscussionLoading…Sign in with Google