Compute $[L:\mathbb{Q}]$ and find the Galois group $G = \text{Aut}_{\mathbb{Q}}(L)$
4048
Find the Galois group of $x^3-5$ over $\mathbb{Q}$.
70981
Galois Group of $x^5+1$
4996
Proving $Gal(K/\mathbb{Q})$ is $D_4$.
108550
Elements of $\mathbb Q(2^{1/3})$
154241
What is the easiest way to generate $\mathrm{GL}(n,\mathbb Z)$?
81944
Galois representations and normal bases
118310
How to find $\operatorname{Gal}(S/\mathbb{Q})$
156549
Prove that there is no group $G$ s.t. $\operatorname{Aut}(G)=\mathbb{Q}$
143451
Homomorphism from $(\Bbb Q,+)$ to a finite group
49768
If Gal(K,Q) is abelian then |Gal(K,Q)|=n
147158
Galois group of a non-separable polynomial
75828
Compute Galois group of $\mathbb F_q/\mathbb F_p$
134840
Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
93546
Galois group and the Quaternion group
147968
Calculate the Factor Group $(\mathbb{Z}_4 \times \mathbb{Z}_6)/\langle(0,2)\rangle$
8602
Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$
43759
Prove that the set $\mathrm{Aut}(G)$ of all automorphisms of the group $G$ with the operation of taking the composition is a group