Deducing Galois group of $t^6 + 3$ over the rationals
3161
Galois group of $x^6 + 3$ isomorphic to a copy of $S_3$ inside $S_6$
15210
Group of order 6 proof
75828
Compute Galois group of $\mathbb F_q/\mathbb F_p$
70581
Is $x^3+y^3+z^3-1$ irreducible over a field $k$ of characteristic $\neq 3$?
9129
Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
124140
Quick way to find the number of the group homomorphisms $\phi:{\bf Z}_3\to{\bf Z}_6$?
151978
Splitting field of x^3-2 as a simple extension
122312
How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
138298
Learning about Grothendieck's Galois Theory.
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
100439
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
73412
Splitting field of $x^6+x^3+1$ over $\mathbb{Q}$
56420
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
147968
Calculate the Factor Group $(\mathbb{Z}_4 \times \mathbb{Z}_6)/\langle(0,2)\rangle$
99516
Show $\mathbb{Q}[\sqrt[3]{2}]$ is a field by rationalizing
1060
Minimal polynomial of intermediate extensions under Galois extensions.