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New posts in galois-theory
Does a Galois group being $S_3$ correspond to the extension being the splitting field of a cubic?
abstract-algebra
group-theory
galois-theory
Pure Galois representation
number-theory
galois-theory
algebraic-number-theory
galois-representations
Cyclotomic polynomials and Galois group
abstract-algebra
field-theory
galois-theory
cyclotomic-polynomials
Every finite group is the Galois group of a field extension
abstract-algebra
field-theory
finite-groups
galois-theory
Elements of order 2 in the absolute Galois group
group-theory
algebraic-number-theory
galois-theory
galois-representations
Is there a standard way to find the subfields of $\Bbb{Q}(\zeta_n)$ when $n$ is not prime?
abstract-algebra
galois-theory
roots-of-unity
cyclotomic-fields
Old vs. Modern Galois theory
galois-theory
math-history
Correct my intuition: every Galois group is $S_n$, and other obviously incorrect statements
abstract-algebra
field-theory
galois-theory
A question regarding normal field extensions and Galois groups
abstract-algebra
field-theory
galois-theory
How to find the "relative" defining polynomial of an extension of number fields?
field-theory
galois-theory
algebraic-number-theory
ramification
$[K : F]_s = [K : L]_s [L : F]_s $ and $[K : F]_i = [K : L]_i [L : F]_i $
abstract-algebra
field-theory
galois-theory
galois-extensions
Splitting field over $\mathbb{F}_p$
abstract-algebra
galois-theory
How to explicitly describe the generator of the Galois group of the extension defined by $x^4-3x^2+18$?
abstract-algebra
galois-theory
algebraic-number-theory
p-adic-number-theory
Find all the middle fields of the splitting field of $x^4-2$ over $\mathbb{Q}$ [duplicate]
abstract-algebra
galois-theory
extension-field
galois-extensions
Finding a unique subfield of $\mathbb{Q}(\zeta)$ of degree $2$?
abstract-algebra
galois-theory
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
galois-theory
finite-fields
irreducible-polynomials
cyclotomic-polynomials
splitting-field
Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$
abstract-algebra
field-theory
galois-theory
extension-field
Sum of roots of cubic = -coefficient of quadratic term?
polynomials
galois-theory
roots
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
abstract-algebra
galois-theory
extension-field
splitting-field
Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$? [duplicate]
galois-theory
extension-field
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