Consider the permutation Ï = (1, 2, 6)(3, 4, 5) in S10. How manyconjugates does Ï has in S10? Hence determine the order of CÏ(S10),the centralizer of Ï in S10. Now determine the order of CÏ(A10) byobserving that there is an odd permutation in CÏ(S10). How manyconjugates does Ï has as an element of A10?
