How to determine the Galois group of $x^4-x^2-1$ over $\mathbb{Q}$
95563
Galois group of a biquadratic quartic
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
42588
Background to start Galois theory
4048
Find the Galois group of $x^3-5$ over $\mathbb{Q}$.
86957
Galois group of irreducible cubic equation
74318
Find the nilpotents in $\mathbb{Z}_3[x]/(x^2-1)$
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
73713
Prove that $\mathbb{Q}(\sqrt{(2+\sqrt{2})(3+\sqrt{3})})$ is Galois over $\mathbb{Q}$ is Galois and determine the Galois group
118310
How to find $\operatorname{Gal}(S/\mathbb{Q})$
3161
Galois group of $x^6 + 3$ isomorphic to a copy of $S_3$ inside $S_6$
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
121707
Generating Elements of Galois Group
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
45302
Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.
130944
Greatest common divisor of polynomials over $\mathbb{Q}$
51021
Find all the intermediate fields of the splitting field of $x^4 - 2$ over $\mathbb{Q}$