Exercise with automorphisms of rational functions field
127886
Artin's lemma and some morphisms.
8164
Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?
137233
$f$ is irreducible $\iff$ $G$ act transitively on the roots
3801
Functions that take rationals to rationals
81844
How would you show that field automorphisms fix prime subfields?
130745
Action of finite group of automorphisms on Spec A
48093
Irreducible polynomial in field extension
93404
J-invariant and isomorphism of elliptic curves over $\mathbb{Q}$
7567
Degree of Field Extensions and $F(\alpha)$
126513
Automorphism of the group of rational numbers under addition
39866
Automorphism group of the quaternion group
4228
Prove that the only automorphism of $\mathbb{Q}(\sqrt[3]{2})$ is the identity automorphism.
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
129476
The trace map in a finite field.
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
121301
What are the roots of an irreducible $p\in F[X]$ in the field extension $F[X]/\langle p\rangle$?
111049
Groups with given automorphism groups