Re: Algebra with finite field..
- From: José Carlos Santos <jcsantos@xxxxxxxx>
- Date: Tue, 05 Feb 2008 15:53:09 +0000
On 05-02-2008 15:23, Fatal wrote:
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.
On the other hand, it is true if the hypothesis "F is a field of prime
characteristic _p_" is replaced by the stronger hypothesis "F is a field
with _p_ elements".
Best regards,
Jose Carlos Santos
.
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