Find the minimal polynomial of the 18th root of unity and the Galois group of $\mathbb{Q}(z_{18})$ and its generators
9129
Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
115282
Showing that $\mathbb Q(\sqrt{17})$ has class number 1
155245
root of an odd degree polynomial
158063
A formula for the roots of a solvable polynomial
74318
Find the nilpotents in $\mathbb{Z}_3[x]/(x^2-1)$
95031
Find generators of the ideal of an algebraic set
103763
Minimal polynomial of $\sqrt{2}+\sqrt{3}$ over $\mathbb Q$
119832
Galois group of the splitting field of the polynomial $x^5 - 2$ over $\mathbb Q$
9422
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
73713
Prove that $\mathbb{Q}(\sqrt{(2+\sqrt{2})(3+\sqrt{3})})$ is Galois over $\mathbb{Q}$ is Galois and determine the Galois group
134840
Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
158588
Determine the Galois group of the polynomial $(x^3-2)(x^3-3)(x^2-2)$ over $\mathbb{Q}(\sqrt {-3})$
130826
Computing class group of $\mathbb Q(\sqrt{6})$
77403
Finding the minimal polynomial of $\sqrt 2 + \sqrt[3] 2$ over $\mathbb Q$.
86957
Galois group of irreducible cubic equation
117970
Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
42165
Complex numbers and Roots of unity