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Results tagged with cyclotomic-fields
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user 483230
A cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to $\mathbb Q$, the field of rational numbers.
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frobenius map on primitive nth root of unity over Fp(w) with (n,p)=1
Suppose w is a primitive n-th root of unity, let r = Ord_n(p) (the smallest integer s.t. $p^r=1 \pmod n $), $f(w)=w^p$(the frobenius map), how to prove that $w,f(w),f^2(w),...f^{r-1}(w)$ are all diffe …
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