Galois group of $X^6-2$ over $\mathbb{Q}$
9422
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
76943
Existence of subgroup of order six in $A_4$
8602
Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$
73713
Prove that $\mathbb{Q}(\sqrt{(2+\sqrt{2})(3+\sqrt{3})})$ is Galois over $\mathbb{Q}$ is Galois and determine the Galois group
9129
Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
121707
Generating Elements of Galois Group
78696
Galois group of the product of two fields being the product of Galois groups?
75127
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$
100439
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
125640
Group of order $p^2$ is abelian.
75828
Compute Galois group of $\mathbb F_q/\mathbb F_p$
145140
Subfield of $\mathbb{Q}(\sqrt[n]{a})$
24919
$\mathbb{Q}(\zeta_{10}) $ degree of field extension over $\mathbb{Q}$
39346
Let $R= \mathbb{Q}[x^2 ,x^3 ]$, the set of all polynomials over $\mathbb{Q}$ with no $x$ term. Show that the $\gcd$ of $x^5$ and $x^6$ does not exist
157031
Express $x^8-x$ as a product of irreducibles in $\Bbb Z_2[x]$
114295
Find all the middle fields of the splitting field of $x^4-2$ over $\mathbb{Q}$
22632
Galois group of $x^4-2$