New posts in galois-theory

Abel-Ruffini theorem, Galois theory and minima and maxima

polynomials galois-theory alternative-proof radicals

finding galois extension isomorphic to $\mathbb{Z}_2 \times \mathbb{Z}_4$ and $Q_8$

field-theory galois-theory extension-field

Irreducible factors of a polynomial in a Galois extension

galois-theory

Irreductible polynomial on a finite field of degree as large as wanted [duplicate]

field-theory galois-theory finite-fields

Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.

field-theory galois-theory splitting-field automorphism-group

Field extensions, inverse limits, notation and roots of unity

notation field-theory galois-theory

What are all the intermediate fields of $\mathbb{Q}\big(\sqrt{3+\sqrt{5}}\big)$ containing $\mathbb{Q}$?

abstract-algebra galois-theory

Minimal polynomial of intermediate extensions under Galois extensions.

abstract-algebra field-theory galois-theory

Is there a field extension $K / \Bbb Q$ such that $\text{Aut}_{\Bbb Q}(K) \cong \Bbb Z$?

abstract-algebra field-theory galois-theory examples-counterexamples

What is the Galois group of sinus?

complex-analysis galois-theory

Deduce the degree of the extension $[\mathbb C:K]$ is countable and not finite

abstract-algebra field-theory galois-theory extension-field

Recognizing when a tower of Galois extensions gives a Galois extension

field-theory galois-theory

Why do you need to introduce complex numbers in order to solve cubics by radicals?

abstract-algebra polynomials galois-theory

Degree of the splitting field of $ x^3-5 $ over $\mathbb{Q}$

polynomials field-theory galois-theory

$K/E$, $E/F$ are separable field extensions $\implies$ $K/F $ is separable

abstract-algebra field-theory galois-theory

Galois group of $x^6-2$ over $\Bbb Q$

abstract-algebra field-theory galois-theory

Interview preparation for Ph.D admission

abstract-algebra general-topology group-theory ring-theory galois-theory

Show that every finite extension of $F$ is cyclic. [duplicate]

galois-theory

How to solve polynomials?

polynomials galois-theory

How to split a quartic into two quadratics?

polynomials galois-theory