New posts in galois-theory

Square roots of integers and cyclotomic fields

number-theory galois-theory

"Standard" ways of telling if an irreducible quartic polynomial has Galois group C_4?

galois-theory quartics

Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?

abstract-algebra field-theory galois-theory

Any more cyclic quintics?

number-theory galois-theory

Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?

abstract-algebra galois-theory quadratics

Intuition behind looking at permutations of the roots in Galois theory

intuition galois-theory

Do finite algebraically closed fields exist?

abstract-algebra field-theory galois-theory finite-fields

$p$-adic valuation on algebraic numbers

galois-theory p-adic-number-theory arithmetic-geometry valuation-theory

Unique quadratic subfield of $\mathbb{Q}(\zeta_p)$ is $\mathbb{Q}(\sqrt{p})$ if $p \equiv 1$ $(4)$, and $\mathbb{Q}(\sqrt{-p})$ if $p \equiv 3$ $(4)$

number-theory field-theory algebraic-number-theory galois-theory

Intuitive reasoning why are quintics unsolvable

algebra-precalculus soft-question field-theory galois-theory intuition

Why is the Galois Correspondence intuitively plausible?

abstract-algebra field-theory galois-theory

Galois group of $x^3 - 2 $ over $\mathbb Q$

galois-theory

Reference book for Artin-Schreier Theory

reference-request algebraic-number-theory galois-theory

Computing the Galois group of $x^4+ax^2+b \in \mathbb{Q}[x] $ [duplicate]

galois-theory

How to transform a general higher degree five or higher equation to normal form?

field-theory galois-theory elliptic-functions

Galois Group of $\sqrt{2+\sqrt{2}}$ over $\mathbb{Q}$

abstract-algebra group-theory polynomials field-theory galois-theory

Intersection of two subfields of the Rational Function Field in characteristic $0$

abstract-algebra field-theory galois-theory

Is $\sqrt1+\sqrt2+\dots+\sqrt n$ ever an integer?

number-theory summation galois-theory radicals

Integrals of $\sqrt{x+\sqrt{\phantom|\dots+\sqrt{x+1}}}$ in elementary functions

integration galois-theory indefinite-integrals radicals elementary-functions

How to prove that $\mathbb{Q}[\sqrt{p_1}, \sqrt{p_2}, \ldots,\sqrt{p_n} ] = \mathbb{Q}[\sqrt{p_1}+ \sqrt{p_2}+\cdots + \sqrt{p_n}]$, for $p_i$ prime?

abstract-algebra field-theory galois-theory