Splitting field of $x^n-a$ over $\mathbb{Q}$
9422
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
120877
$A$ abelian variety. Is the multiplication by $n_A$ surjective?
46795
Explicit construction of a finite field with $p^n$ elements
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
622
Galois Group of $\sqrt{2+\sqrt{2}}$ over $\mathbb{Q}$
130944
Greatest common divisor of polynomials over $\mathbb{Q}$
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
127002
Prove that for a nonzero element $a$ of a field $F$ with $q$ elements $a^{-1} = a^{q-2}$
142707
Intermediate fields of a finite field extension that is not separable
152297
Understanding quotients of $\mathbb{Q}[x]$
100162
Minimal polynomial over an extension field divides the minimal polynomial over the base field
66656
I have to find a splitting field of $x^{6}-3$ over $\mathbb{F}_{7}$
92677
Infinite algebraic extension of a finite field
119832
Galois group of the splitting field of the polynomial $x^5 - 2$ over $\mathbb Q$
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
14918
Degree of splitting field of $X^n-1$ over some finite field
150170
Subrings of fraction fields