$E$ is a splitting field of $f(x)=x^3-3x+1$ over $\mathbb Q$.Then determine the group $G(\frac {E}{\mathbb Q})$
86957
Galois group of irreducible cubic equation
109109
Show that $E(XE[X|G])=E[(E[X|G)^2]$
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
101596
Determine group G as cyclic
109647
Ext$_R^n(Q,A)=0=$Tor$_n^R(Q,A)$ where $Q$ is the field of fractions of a domain $R$
129687
Does a Galois group being $S_3$ correspond to the extension being the splitting field of a cubic?
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
113216
No field properly between $\mathbb Q$ and $E$ iff $G(K/\mathbb Q) \cong A_4$ or $S_4$
1443
How to find the Galois group of a polynomial?
31961
Given fields $M/E/F$, why does $[M:F] = [M:E][E:F]$?
145561
About the additive group and the multiplicative group of a field
108550
Elements of $\mathbb Q(2^{1/3})$
33586
Prove the field of fractions of $F[[x]]$ is the ring $F((x))$ of formal Laurent series.
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
73713
Prove that $\mathbb{Q}(\sqrt{(2+\sqrt{2})(3+\sqrt{3})})$ is Galois over $\mathbb{Q}$ is Galois and determine the Galois group
148981
Entire $f$ and $g$ constant if $e^{f(z)}+e^{g(z)}=1$
46648
How to prove the existence of a splitting field?