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## Homework Statement

If a and g are elements of a group, prove that C(a) is isomorphic to C(gag

^{-1})

## Homework Equations

I have defined to mapping to be f:C(gag

^{-1}) to C(a) with f(h)=g

^{-1}hg.

I have no idea if this is right.

## The Attempt at a Solution

I don't have a clue at the solution, any help would be greatly appreciated.