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:(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Automorphisms of Z_3

Loading...

Similar Threads for Automorphisms |
---|

I What is difference between transformations and automorphisms |

I Groups of Automorphisms - Aut(C) ... |

I Automorphisms of Field Extensions ... Lovett, Example 11.1.8 |

**Physics Forums | Science Articles, Homework Help, Discussion**