On the Degrees of Irreducible Factors of Composite Polynomials
LE Mao-hua, Li Zhong · Journal of Jishou University · 2000
Let F be a number field.Let g(x) and h(x) be polynomials over F with the degrees m and n respectively.In this paper we prove that if g(x) is irreducible over F ,then the degrees of irreducible factors of the composite polynomial g(h(x)) over F do not less than m .