Recent content by Kinsei

Could someone please show me this proof? It'd be greatly appreciated.

Let ? be any cycle of length r, and Let Sn by the set of all bijections Xn -> Xn. I need help proving two things: 1> that if ? is in Sn, show that ???^-1 is also a cycle of length r. So far, I know that if ? = (a1 a2 … ar), then I should show that ???^-1 = (?a1 ?a2 … ?ar) 2> if ? is in...