Operation in this group is composition

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Reference no: EM131237768

Let X be a set (either finite or infinite) and G = Sym(X) be the group of bijections f : X → X. Recall that the operation in this group is composition, and the identity element is the identity function id: X → X. If X has three or more elements, show that G is a non-commutative group.

Reference no: EM131237768

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