Re: Algebra with finite field..

mina_world a écrit :

I can't understand (***)part.
Namely, a^p = a, b^p = b.
Why ?

This is false in general.
Indeed, if it where true, every element of F would be a root of the polynomial X^p-X, thus the cardinality of F should be p: this is not the case if n>1.
.