Open problems in Galois theory (other than the IGP)
45663
What are some major open problems in Galois theory?
17218
Open problems in General Relativity
68128
Two term free resolution of an abelian group.
69935
Field extensions of finite degree and primitive elements
12524
Galois group of $x^3 - 2 $ over $\mathbb Q$
64068
Is every finite Galois extension of $\mathbb{Q}_p$ the completion of a number field at some valuation?
78696
Galois group of the product of two fields being the product of Galois groups?
59337
Relationship between Galois cohomology and etale cohomology.
43155
Cyclotomic Polynomials and GCD
124864
A not free $\mathbb{Z}$-module
41815
Galois extension of intersection of fields
106101
Why there is much interest in the study of $\operatorname{Gal}\left(\overline{\mathbb Q}/\mathbb Q\right)$?
96549
Can we have a perfect field of characteristic $p$ with a non-archimedean valuation?
82328
Constructing a Galois extension field with Galois group $S_n$
38911
Squares in $\mathbb{Z}_p$ that are not squares in $\mathbb{Z}$
92677
Infinite algebraic extension of a finite field
95459
$\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?