New posts in Galois Theory

Is $ \sqrt{2}$ an element of $ \mathbb{Q} ( \cos 72^\circ ) $?

Galois Theory by Rotman, Exercise 60, a field of four elements by using Kronecker's theorem and adjoining a root of $x^4-x$ to $\Bbb Z_2$

Is $\Bbb Z_p^2$ a Galois group over $\Bbb Q$?

Absolute Galois group of $\Bbb Q_p$ while varying $p$

an odd degree polynomial with cyclic Galois group has root all real

Relating the trace and norm in Galois theory with the trace and determinant of a certain matrix

Galois group of quartic with only complex roots

Which roots of irreducible quartic polynomials are constructible by compass and straightedge?

On $\sum_{n=0}^\infty \frac{1}{n^2+bn+c} = \frac{\pi \tan\big(\frac{\pi}2\sqrt{b^2-4c}\big)}{\sqrt{b^2-4c}}+x$ and solvable Galois groups?

Fields the closure of which is $\mathbb{C}$