Let gbe the group with the generators a and b given by g = (a, b:a' =b = , ba = ab). ifz)denotes the centre of g, then giz(g)s isomorphic to (a) the trivial gro

Let Gbe the group with the generators a and b given by G = (a, b:a' =b = , ba = ab). IfZ)denotes the centre of G, then GIZ(G)s isomorphic to (a) the trivial group 12. IGATE-2006] (b)C, the cyclic group oforder 2 (d) C, (c) C, xC