Frobenius map
Let K be any field of characteristic p>0, and suppose K contains the finite field
𝔽q of size q, where q=pr. The qth power Frobenius map
on K is the map Frobq:K⟶K defined by Frobq(x):=.
If is perfect, then is an automorphism
of which fixes , and accordingly is a member of the Galois group
.
Title | Frobenius map |
---|---|
Canonical name | FrobeniusMap |
Date of creation | 2013-03-22 12:34:52 |
Last modified on | 2013-03-22 12:34:52 |
Owner | djao (24) |
Last modified by | djao (24) |
Numerical id | 6 |
Author | djao (24) |
Entry type | Definition |
Classification | msc 12E20 |
Classification | msc 11T99 |
Related topic | FrobeniusAutomorphism |