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  3. let g be a group, and let a ? g be a fixed element

Let G be a group, and let a ? G be a fixed element. Define...

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Advance Math

Let G be a group, and let a ? G be a fixed element. Define afunction ? : G ? G by ?(x) = ax?1a?1.

Prove that ? is an isomorphism is and only if the group G isabelian.

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