1) What is Aut(G) and how do you show that the automorphism is isomorphic to a group i.e. Aut(C5) =~ C4, and what is Aut(C9) is isomorphic to which cyclic group, is it group C8?
2) Describe Aut(Cn) explicitly for n = 24
How do you show that Aut(C12) =~ C2 * C2 and Aut(C14) =~ C6 ?. Find the correspoding isomorphism for Aut(C24)
Another question is: Does it mean that, C2 * C2 = C4
C4 * C4 = C16
C5 * C5 = C25
and so on ... so in general Cn * Cn = C(n*n). I dont know
Can any body help please? I'd appreciate your help.