Newbetuts

Ramanujan-type trigonometric identities with cube roots, generalizing $\sqrt[3]{\cos(2\pi/7)}+\sqrt[3]{\cos(4\pi/7)}+\sqrt[3]{\cos(8\pi/7)}$

Original works of great mathematician Évariste Galois

Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?

If $\widetilde{L} =$ splitting field of all irreducible polynomials over $L$ of prime-power degree, is $\widetilde{\Bbb{Q}} = \overline{\Bbb{Q}}$?

Are most rational quintics unsolvable?

Is there active research in Galois Theory?

Why there is much interest in the study of $\operatorname{Gal}\left(\overline{\mathbb Q}/\mathbb Q\right)$?

Why does an irreducible polynomial split into irreducible factors of equal degree over a Galois extension?

Constructing a Galois extension field with Galois group $S_n$

Is every group a Galois group?

Intersection of finite Galois extensions is Galois

Is the Galois group associated to a random polynomial solvable with probability 0?

Prove that $\sqrt[5]{5} \notin \mathbb{Q}(e^\frac{2 \pi i}{25})$

Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$

Is Frobenius the only magical automorphism?

Determine the Galois group of $\mathbb{Q}(\sqrt{a+b\sqrt{d}})$

New posts in galois-theory

Transition between field representation

Irreducible factors for $x^q-x-a$ in $\mathbb{F}_p$.

Proving that a polynomial is not solvable by radicals.

Galois Group of $x^p - 2$, $p$ an odd prime

Ramanujan-type trigonometric identities with cube roots, generalizing $\sqrt[3]{\cos(2\pi/7)}+\sqrt[3]{\cos(4\pi/7)}+\sqrt[3]{\cos(8\pi/7)}$

Original works of great mathematician Évariste Galois

Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?

If $\widetilde{L} =$ splitting field of all irreducible polynomials over $L$ of prime-power degree, is $\widetilde{\Bbb{Q}} = \overline{\Bbb{Q}}$?

Are most rational quintics unsolvable?

Is there active research in Galois Theory?

Why there is much interest in the study of $\operatorname{Gal}\left(\overline{\mathbb Q}/\mathbb Q\right)$?

Why does an irreducible polynomial split into irreducible factors of equal degree over a Galois extension?

Constructing a Galois extension field with Galois group $S_n$

Is every group a Galois group?

Intersection of finite Galois extensions is Galois

Is the Galois group associated to a random polynomial solvable with probability 0?

Prove that $\sqrt[5]{5} \notin \mathbb{Q}(e^\frac{2 \pi i}{25})$

Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$

Is Frobenius the only magical automorphism?

Determine the Galois group of $\mathbb{Q}(\sqrt{a+b\sqrt{d}})$