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Prove that for any automorphism of S(4), there exists a permutation 1 S(4) such that f(o)= - lot for any permutation o (4). An automorphism

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Prove that for any automorphism of S(4), there exists a permutation 1 S(4) such that f(o)= - lot for any permutation o (4). An automorphism of this type is called an inner automorphism

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