The statement is relatively simple but the proof is giving me some trouble. Any help will be very much appreciated:
Let $a,b \in S_n$. Assuming $ = $ show that $b$ is a conjugate of $a$.
The statement is relatively simple but the proof is giving me some trouble. Any help will be very much appreciated:
Let $a,b \in S_n$. Assuming $ = $ show that $b$ is a conjugate of $a$.
Hints:
For this last step expanding $b=a^s$ you also need that disjoint cycles commute.