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Frobenius homomorphism

Defines: 
Frobenius automorphism
Synonym: 
Frobenius endomorphism, Frobenius map
Type of Math Object: 
Definition
Major Section: 
Reference

Mathematics Subject Classification

12E99 no label found

Comments

Won't be a field if p isn't prime.

thanks!

(i had asked if p had to be prime)

ahhh hehe, nice to know
since I don't see any problems with stating
"Let F be a field of characteristic p"
since F being prime that already implies p is prime (or zero)
f
G -----> H G
p \ /_ ----- ~ f(G)
\ / f ker f
G/ker f

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