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Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, Quaternion algebras, Homogenous forms, Class groups, Units, Galois theory, Group cohomology, Étale cohomology, Motives, Class field theory, Iwasawa theory, Modular curves, Shimura varieties, Jacobian varieties, Moduli spaces

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Factorization of cyclotomic polynomials

Is the following statement correct? Let $F$ be field with characteristic not equal to $p$ which does not contain any primitive $p$th root of unity. Let $\phi_{p}(X) = f_{1}(X)f_{2}(X)\cdots f_{k}(X) …
Shib proshad pramanik's user avatar