Degree of splitting field divides n!
48873
Let $K$ be a field and $f(x)\in K[X]$ be a polynomial of degree $n$. And let $F$ be its splitting field. Show that $[F:K]$ divides $n!$.
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$
3703
Order of finite fields is $p^n$
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
126552
Number of subfields of finite field
151732
Number of solutions of polynomials in a field
31555
Divisor of $m$ and $n$ divides $m - qn$ (in proof of Euclidean algorithm)
155771
Product of degree of two field extensions of prime degree
108914
Splitting field of $x^n-a$ contains all $n$ roots of unity
104300
Help justifying that $\mathbb Q(\sqrt[3]{2})$ is not a splitting field over $\mathbb Q$.
141983
Complex polynomial of degree $n$
38190
Discriminant of a monic irreducible integer polynomial vs. discriminant of its splitting field
145594
Splitting of prime ideals in algebraic extensions
81550
Linking two theorems: on algebraic closure and on minimal splitting field
17276
Number of points in the fibre and the degree of field extension
77076
Proof that $(x-1)^2$ divides a $nx^{n+1} – (n+1)x^{n}+1$
124685
How to show $(mn)!$ is divisible by $(m!)^n$?