New posts in galois-theory

Galois representations and normal bases

Show $Gal(E/\mathbb{Q})\cong \mathbb{\mathbb{Z_2\times Z_2}}$

Is the subextension of a purely transcendental extension purely transcendental over the base field?

Galois Group over Finite Field

Galois group of $x^4-5$

automorphisms of a finite field

Finite extensions of rational functions

Any abstract algebra book with programming (homework) assignment?

Can two monic irreducible polynomials over $\mathbb{Z}$, of coprime degrees, have the same splitting field?

What is the Galois group of $\mathbb{Q}_p[\zeta] / \mathbb{Q}_p$, where $\zeta$ is a $p^r$th root of unity?

Maximal ideals in polynomial rings over a field

Galois Theoretic Proof of Fundamental Theorem of Algebra

The Galois group of a composite of Galois extensions

Applications of Galois theory for topology

A shortcut in Galois theory

If $|G| = n < 60$, and $n$ is composite, then $G$ is not a simple group. Why? [duplicate]

A group of order less than $60$

Application of the Artin-Schreier Theorem

$\mathbb{Q}(\sqrt{p^*})$ is contained in the ring class field of conductor $p$

On $\ker\chi $ , $\: \chi :{\rm Gal}(E,F)\rightarrow S_n$