Prove that the composition of Galois extensions is not neccessarily Galois
104634
Galois extension is (not) transitive
68753
Elements in finite field extensions
9422
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
8602
Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$
152438
Is the composition of two injective functions injective?
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
115427
Galois group of $\prod_{i=1}^{p-1} (X^2-i)$
118610
Are all extensions of finite fields cyclic?
45792
Rigorous proof that surjectivity implies injectivity for finite sets
103654
A finite field extension that is not simple
81944
Galois representations and normal bases
49768
If Gal(K,Q) is abelian then |Gal(K,Q)|=n
100162
Minimal polynomial over an extension field divides the minimal polynomial over the base field
56420
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
4996
Proving $Gal(K/\mathbb{Q})$ is $D_4$.
1060
Minimal polynomial of intermediate extensions under Galois extensions.
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.