Show that no group can have its automorphism group cyclic of odd order.
I have shown it only if $G$ is cyclic, but I could not do that if $G$ is not cyclic. Can you help?
Show that no group can have its automorphism group cyclic of odd order.
I have shown it only if $G$ is cyclic, but I could not do that if $G$ is not cyclic. Can you help?