Let G be a group. Recall that an automorphism of G is an isomorphi.pdf

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Let G be a group. Recall that an automorphism of G is an isomorphism f : G ? G. (1) Show that the set of automorphisms of G forms a group; we denote this group Aut(G). (2) Show that Aut(Z/4Z) ~ Z/2Z. = (3) Calculate Aut(Z/2Z×Z/2Z), and show that this group is isomorphic to a group we are already very familiar with. Solution (.

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