|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'Frobenius homomorphism'
|
Not always an automorphism by mclase
Correction id: 5216
Filed on: 2004-11-01 18:02:29
Status: Accepted on 2004-11-02 05:38:34
Type: Erratum
Correction text:
The Frobenius map isn't necessarily an automorphism, because it may not be surjective. Fields (with char = p > 0) are called perfect if the Frobenius map is surjective. Finite fields are always perfect.
For an example of a field for which the Frobenius map fails to be surjective, let K = F_p(z), rational functions over F_p.
|
No comment from correction handler yark.
|
|
|
|
|
|
|
|
|
|
