Can we find a Galois extension with Galois group $\mathbf{Z}$?
49338
Is every group a Galois group?
142488
Galois Basic Question (Cyclic Order 4 Extension of Q cannot contain i)
102112
Idempotents in $\mathbb Z_n$
24168
A characterisation of quadratic extensions contained in cyclic extensions of degree 4
86957
Galois group of irreducible cubic equation
113708
Correspondence between Ext group and extensions (from Weibel's book)
152954
Extensions of finite cyclic groups
622
Galois Group of $\sqrt{2+\sqrt{2}}$ over $\mathbb{Q}$
100439
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
111347
Finding an example of field extensions satisfying certain properties
70981
Galois Group of $x^5+1$
92677
Infinite algebraic extension of a finite field
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
109039
Does this "extension property" for polynomial rings satisfy a universal property?
41815
Galois extension of intersection of fields
126127
A field extension of prime degree
59108
Book for field and galois theory.