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    automorphism

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    A) A subgroup N of a group is said to be characteristic if f(N) is contained in N for every automorphism f of G. Prove that every characteristic subgroup is normal.

    b) Prove that the converse is false.

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    https://brainmass.com/math/linear-transformation/characteristic-group-automorphism-373911

    Solution Summary

    Characteristic groups are assessed clearly.

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