New posts in galois-theory

Self teaching Galois Theory

abstract-algebra reference-request soft-question galois-theory

Prove that $[\mathbb{Q}(\sqrt[r]{p_1},\cdots ,\sqrt[r]{p_n}):\mathbb{Q}]=r^n$

field-theory galois-theory

What is a maximal abelian extension of a number field and what does its Galois group look like?

field-theory algebraic-number-theory galois-theory

Addition and multiplication in a Galois Field

galois-theory finite-fields coding-theory

Galois groups of $x^3-3x+1$ and $(x^3-2)(x^2+3)$ over $\mathbb{Q}$

abstract-algebra galois-theory extension-field irreducible-polynomials splitting-field

Understanding non-solvable algebraic numbers

polynomials galois-theory roots irrational-numbers solvable-groups

Why isn't differential Galois theory widely used?

differential-geometry soft-question galois-theory differential-algebra integral-geometry

Exception in the characterization of equality of quadratic extensions when the field is of characteristic $2$.

abstract-algebra solution-verification field-theory galois-theory extension-field

Splitting field of a separable polynomial is separable

abstract-algebra field-theory galois-theory

Fixed Field of Automorphisms of $k(x)$

abstract-algebra field-theory galois-theory

Calculate the degree of the extension $[\mathbb{Q}(\cos(\frac{2\pi}{p})):\mathbb{Q}]$

field-theory galois-theory extension-field

Existence of irreducible polynomial of arbitrary degree over finite field without use of primitive element theorem?

field-theory galois-theory finite-fields

Galois extension is (not) transitive

Finding a fixed subfield of $\mathbb{Q}(t)$

abstract-algebra field-theory galois-theory

Inverse Limits: Isomorphism between Gal$(\mathbb{Q}(\cup_{n \geq 1}\mu_n)/\mathbb{Q})$ and $\varprojlim (\mathbb{Z}/n\mathbb{Z})^\times$

galois-theory roots-of-unity

Galois group and the Quaternion group

Splitting field and Galois group of a polynomial

abstract-algebra field-theory galois-theory

Galois correspondence and characteristic subgroups

abstract-algebra field-theory galois-theory

How can we prove $\mathbb{Q}(\sqrt 2, \sqrt 3, ..... , \sqrt n ) = \mathbb{Q}(\sqrt 2 + \sqrt 3 + .... + \sqrt n )$ [duplicate]

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

$A_4$ extension of $\mathbb{Q}$ ramified at one prime

abstract-algebra number-theory algebraic-number-theory galois-theory