Find Aut(Zn) for cases n = 2,3,4, and 5 My question is to find Aut(Zn) for cases n = 2,3,4, and 5 First, I am a little confused about the case Aut(Z), the integers. I know that the only functions that satisfy Aut(Z) are f(x) = x, and f(x) = -x, but what is wrong with f(x) = x+1? It would be great if you explain to me how to find automorphic functions, and why the previous example works and doesn't work. My attempts at Aut(Z2): I think that f(x) = kx and f(x) = x+k, k [tex]\in[/tex] Z are the only functions that apply in this case. The rest, I believe, are similar, but I just need help before I commit to an answer. Thank you for your time.