- #1

jgens

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## Homework Statement

1) Find more than two automorphisms of

**A**.

2) Do automorphisms of

**C**fix

**A**∩

**R**?

## Homework Equations

N/A

## 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!

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