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LoginShowing that (Fq[x]/(fi(x)))Fq=Fq Ask
Course Queries Syllabus Queries 3 years ago
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manpreet![Tuteehub forum best answer]()
Best Answer
3 years ago
In a proof in my syllabus of a number theory course, they use that
where fi(x)fi(x) is irreducible, FqFq is the frobenius automorphism of FqFq and FqFq is the finite field of size qq(not necessarily prime). The book also says that this can be proven using properties of finite fields. However, I flipped through me algebra book and I didn't see any particular property that I could use to show this.
Could anyone give me some pointers?