Re: Finite extension of a finite field

On 15 Aug., 17:49, Angus Rodgers <twir...@xxxxxxxxxxx> wrote:
On Fri, 15 Aug 2008 08:44:00 -0700 (PDT), sanchopanch...@xxxxxx
wrote:

I've seen somebody writing F_p[a^(1/p)] with a in the finite field
F_p. What does this mean? More precisely: What does a^(1/p) mean?

Just guessing: it means F_p[b], where b is a root of x^p - a in an
extension field.

--
Angus Rodgers
(twirlip@ eats spam; reply to angusrod@)
Contains mild peril

I have thought that too at first, but why are the results isomorphic
for different roots? The polynomial x^p - a doesn't have to be
irreducible.
.

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