Re: factorization in Z_3



Jyrki Lahtonen wrote:
> Li Yi wrote:
> > Okay. But how to factor
> > 1 - x + x^2 - x^3 + x^4 - x^5 + x^6 - x^7 + x^8 - x^9 + x^10 - x^11 +
> > x^12?
> >
> > It seems terrible to me.
> >
>
> Well, x^27-x does require some work, but do notice that from
> general theory you can immediately infer that it is the
> product of all irreducible monics of degrees 1 and 3
> (in Z_3[x] obviously).
>>From which theorem?

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