Question

8. Let g be an automorphism of the group G, and fa an inner automorphism, as...

8. Let g be an automorphism of the group G, and fa an inner automorphism, as defined
in Problems 3 and 4. Show that g ◦fa ◦g−1 is an inner automorphism. Thus the group
of inner automorphisms of G is a normal subgroup of the group of all automorphisms.

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