1. The problem statement, all variables and given/known data Prove that there is a permutation sigma, such that sigma * (1 2 3) * sigma inverse= (4 5 6). 2. Relevant equations 3. The attempt at a solution I know that since the order of the two cycles is the same there must be a sigma such that the two permutations are equal but I am stumped as to how to derive a specific one. Would I have to do proof by contradiction using identity as was done in an earlier problem I completed or am I way off? Thank you!