Recent content by sd522527
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Graduate Irreducible polynomials over finite fields
I mean Zp(z), the field, of course. Steve- sd522527
- Post #16
- Forum: Linear and Abstract Algebra
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Graduate Irreducible polynomials over finite fields
If z is an element of order p^n-1 in GF(p^n), it is the generator of the cyclic multiplicative group, and by the Primitive element theorem, GF(p^n) = Zp[z]. Therefore it's irr. polynomial is of degree n.- sd522527
- Post #15
- Forum: Linear and Abstract Algebra