Finding degree of field extension
118348
Let $x$ be transcendental over $F$. Let $y=f(x)/g(x)$ be a rational function. Prove $[F(x):F(y)]=\max(\deg f,\deg g)$
14918
Degree of splitting field of $X^n-1$ over some finite field
4401
Constructive proof that algebraic numbers form a field
79725
Fields of arbitrary cardinality
68790
Do we have $K(\beta)=K(\beta^2)$ for field extension of odd degree?
60212
algebraic element over a field
101098
Field extensions with(out) a common extension
107605
Determining the characteristic of a field
13353
How do I find the degree of a multivariable polynomial automatically?
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
24168
A characterisation of quadratic extensions contained in cyclic extensions of degree 4
101869
Field Extension Notation
81441
Degree of splitting field divides n!
73669
Totally real Galois extension of given degree
40858
Multiplicative nature of the separability degree
51021
Find all the intermediate fields of the splitting field of $x^4 - 2$ over $\mathbb{Q}$
48093
Irreducible polynomial in field extension