On the question of the Galois group of some polynomial.
121707
Generating Elements of Galois Group
9422
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
157487
Showing a polynomial having at least one integer root under certain conditions has precisely one integer root
129687
Does a Galois group being $S_3$ correspond to the extension being the splitting field of a cubic?
127330
Exercises on Galois Theory
46821
Finding roots in $\mathbb{Z}_p$
129653
Solving a polynomial with grouping
116628
Example of Galois extension whose Galois group is $A_4$
56439
$f \in K[X]$ of degree $n$ with Galois group $S_n$, why are there no non-trivial intermediate fields of $K \subset K(a)$ with $a$ a root of $f$?
24168
A characterisation of quadratic extensions contained in cyclic extensions of degree 4
86957
Galois group of irreducible cubic equation
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
119297
Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
9129
Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
28576
Galois Groups are isomorphic to subgroups of symmetric groups.
49338
Is every group a Galois group?
77862
Question about fields and quotients of polynomial rings