- #1
erraticimpulse
- 55
- 0
Please bear with me as I don't have latex. This is a homework question I have and I don't even know if it makes sense:
How many Z_3 (set of integers modulo 3) vector space automorphisms of Z_3(alpha) are there? Describe them.
I'm not sure if alpha is supposed to be the root of some polynomial or just an element outside of Z_3. I know that Z_3 is isomorphic to GF(3) (the Galois field of order 3). Any help would be much appreciated.
How many Z_3 (set of integers modulo 3) vector space automorphisms of Z_3(alpha) are there? Describe them.
I'm not sure if alpha is supposed to be the root of some polynomial or just an element outside of Z_3. I know that Z_3 is isomorphic to GF(3) (the Galois field of order 3). Any help would be much appreciated.