Galois group of finite field extension
118610
Are all extensions of finite fields cyclic?
142707
Intermediate fields of a finite field extension that is not separable
86174
Finding an isomorphism between these two finite fields
100439
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
116628
Example of Galois extension whose Galois group is $A_4$
129153
Is it Galois extension?
56551
Multiplicative group of field extension over base field
1443
How to find the Galois group of a polynomial?
20218
Is this field extension finite?
86957
Galois group of irreducible cubic equation
49338
Is every group a Galois group?
131460
Example of finite field extension where root not separable
104634
Galois extension is (not) transitive
86877
Let $F$ be a Galois extension over $\mathbb{Q}$ with $[F:\mathbb{Q}]=2^n$, then all elements in $F$ are constructible
51770
Number of elements in a finite field extension for finite fields
4048
Find the Galois group of $x^3-5$ over $\mathbb{Q}$.
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.