When degree of splitting field equals n factorial
46730
How to show $\mathbb{Q}(\alpha^{4})=\mathbb{Q}(\alpha)$?
14918
Degree of splitting field of $X^n-1$ over some finite field
31142
Why does $K \leadsto K(X)$ preserve the degree of field extensions?
114146
Polynomial in $n$ variables
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
121304
Is the set of polynomials of degree less than or equal to $n$ closed?
3703
Order of finite fields is $p^n$
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 $n!$.
46572
Degree of a splitting field is no greater than $n!$
121404
How to factor polynomials in $\mathbb{Z}_n$?
83036
f(g(x)) has a degree divisible by n
144571
A conjecture including binomial coefficients
55437
When does $2^{n}$ divide $3^{n}-1$
96620
Condition on degrees for existence of a tree
121823
Number of subrings of a Field
47299
Factorize $x^8-x$ over $F_3$ and $F_{81}$
26999
How is the degree of the minimal polynomial related to the degree of a field extension?