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    Isomorphism of a Group

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    Group theory
    Modern Algebra
    Group Theory (LV)
    Isomorphism of a Group
    Automorphism of a Group
    Inner Automorphism of a Group

    Let G be any group, g a fixed element in G. Define phi:G--> G by phi(x) = gxg^-1.
    Prove that phi is an isomorphism of G onto G.

    The fully formatted problem is in the attached file.

    © BrainMass Inc. brainmass.com October 9, 2019, 5:42 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/isomorphism-of-a-group-65231

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    Solution Summary

    It is proven that phi is an isomorphism of G onto G, where G is any group, g a fixed element in G and defined phi:G -->G by phi(x) = gxg^-1.
    The solution is detailed and well presented.

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