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New posts in galois-theory
Do we have such a direct product decomposition of Galois groups?
group-theory
algebraic-number-theory
galois-theory
Show that $\mathbb{Q}(\sqrt2, \sqrt[3]2)$ is a primitive field extension of $\mathbb{Q}$.
abstract-algebra
polynomials
field-theory
galois-theory
irreducible-polynomials
Prove that $\operatorname{Gal}(\mathbb{Q}(\sqrt[8]{2}, i)/\mathbb{Q}(\sqrt{-2})) \cong Q_8$
abstract-algebra
galois-theory
Number of subfields of splitting fields of $x^5-5$ over $\mathbb{Q}$.
abstract-algebra
galois-theory
A different proof of the insolubility of the quintic?
abstract-algebra
galois-theory
I am trying to understand Galois groups for a tower of fields
abstract-algebra
galois-theory
Smart way to solve octics like $x^8+5992704x-304129728=0$
galois-theory
radicals
gap
Find splitting field of $x^5-4x+2$ over $\mathbb{Q}$
polynomials
galois-theory
What is $\operatorname{Gal}(\mathbb Q(\zeta_n)/\mathbb Q(\sin(2\pi k/n))$? [closed]
field-theory
galois-theory
Galois extensions of degrees $p$ and $p^{n-1}$ given a Galois extension of $p^n$
galois-theory
Simple extension of $\mathbb{Q} (\sqrt[4]{2},i)$
abstract-algebra
field-theory
galois-theory
extension-field
irreducible-polynomials
How to describe the Galois group of the compositum of all quadratic extensions of Q?
number-theory
group-theory
galois-theory
Compute Galois group of $\mathbb F_q/\mathbb F_p$
galois-theory
finite-fields
Proof of Order of Galois Group equals Degree of Extension
abstract-algebra
galois-theory
Does an inseparable extension have a purely inseparable element?
abstract-algebra
galois-theory
A degree $4$ polynomial whose Galois group is isomorphic to $S_4$.
abstract-algebra
field-theory
galois-theory
Galois Basic Question (Cyclic Order 4 Extension of Q cannot contain i)
galois-theory
Semialgebraic conditions that convey properties of Galois group
abstract-algebra
reference-request
polynomials
galois-theory
Artin conjecture for soluble extensions
abstract-algebra
group-theory
representation-theory
galois-theory
algebraic-number-theory
Fixed Field of $\sigma, \tau$
field-theory
galois-theory
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