2. Let G be a group. Show that Z(G) = NEG CG(x).
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- 5. For any subgroup of the group , let denote the product as defined in Definition 4.10. Prove that corollary 4.19:Let be a subgroup of a group with . Prove that if and only if .Label each of the following statements as either true or false. Let x,y, and z be elements of a group G. Then (xyz)1=x1y1z1.