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Homework Statement
If x and y are elements of a group G show that ord(x)=ord(yxy^-1)
Homework Equations
The Attempt at a Solution
Some hints to how to do this would be great.
You aren't going to get anywhere taking wild guesses. Try simplifying (yxy^(-1))^2=(yxy^(-1))(yxy^(-1)).y^n.x^n.y^(-n) ?
No. (yxy^(-1))^n would be yx^ny^(-1), NOT x^n. Be careful!!that would be x^2
so (yxy^(-1))^n would be x^n