1. The problem statement, all variables and given/known data 1) Find more than two automorphisms of A. 2) Do automorphisms of C fix A∩R? 2. Relevant equations N/A 3. The attempt at a solution I managed to figure out the second question since a map which preserves the additive structure of C will fix Q. And since the maps preserves multiplicative structure as well, it is not difficult to show that the automorphism will fix A∩R. So I think I have this part covered. So right now, I could use some help managing the first part of this problem. My professor indicated that there are a lot of automorphisms of A, so I'm thinking that there might be a family of automorphisms which aren't too difficult to construct. Any pointers on how to get started with this part are appreciated. Thanks!