Let H and K be subgroups of a group G and assume |G : H| < +co. Show that |K Kn H G H\
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- Let G be a group and Z(G) its center. Prove or disprove that if ab is in Z(G), then ab=ba.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=x1y1z1.45. Let . Prove or disprove that is a group with respect to the operation of intersection. (Sec. )