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Math Help - isomorphism

  1. #1
    Junior Member
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    isomorphism

    1. Prove that the products ab and ba are conjugate elements in a group

    2. prove that the set Aut G of automorphism of a group G forms a group, the law of composition being composition of functions

    could anyone please help me ?
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  2. #2
    Senior Member TheAbstractionist's Avatar
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    1. Multiply ab on the left by a^{-1} and on the right by a and you get ?

    2. Verify all the group axioms for \mathrm{Aut}(G).
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