yes, jbuni, but i am restricting my group from S_5 to A_5 and the permutations you listed are odd, hence, not in A_5. Its all in the description of the problem i wrote above.
Hey everyone, I am trying to figure this out, but no luck. Help would be much appreciated. So i am considering a 5-cycle: pi = (12345) in S_5. Its centralizer in S_5 is just <(pi)>, which is contained in A5. Therefore, when we restrict our main group to A_5, the conjugacy class that contained...