Extension degree of a splitting field
46572
Degree of a splitting field is no greater than $n!$
82328
Constructing a Galois extension field with Galois group $S_n$
68317
Conjugacy class of $G$ splitting as Conjugacy class of $H\unlhd G$
75946
Determine the degree of the extension $\mathbb{Q}(\sqrt{3 + 2\sqrt{2}})$.
74796
Extension of intersection of ideals
119832
Galois group of the splitting field of the polynomial $x^5 - 2$ over $\mathbb Q$
155771
Product of degree of two field extensions of prime degree
26999
How is the degree of the minimal polynomial related to the degree of a field extension?
126127
A field extension of prime degree
101869
Field Extension Notation
27689
Separability over intersection of intermediate fields
57283
Extending Homomorphism into Algebraically Closed Field
142707
Intermediate fields of a finite field extension that is not separable
7567
Degree of Field Extensions and $F(\alpha)$
51021
Find all the intermediate fields of the splitting field of $x^4 - 2$ over $\mathbb{Q}$
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension