Cyclotomic extension over Q special case of Kronecker Weber theorem.
98803
Square roots of integers and cyclotomic fields
94179
Problems on Cyclotomic Polynomials
10885
Existence of irreducible polynomials over finite field
152297
Understanding quotients of $\mathbb{Q}[x]$
135611
Extensions of $\mathbb{Z}$ by $\mathbb{Z}$
24919
$\mathbb{Q}(\zeta_{10}) $ degree of field extension over $\mathbb{Q}$
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
56420
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
1060
Minimal polynomial of intermediate extensions under Galois extensions.
152954
Extensions of finite cyclic groups
106914
Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree
94382
Calculate the degree of the extension $[\mathbb{Q}(\cos(\frac{2\pi}{p})):\mathbb{Q}]$
28803
Extension of degree 2 with characteristic not 2
60816
Irreducibility of special cyclotomic polynomial.
42332
Existence of multiplicative inverse in field $\mathbb{Q}(\sqrt{d})$
145039
Algebraic independence over $\overline{\mathbb Q}$ and over $\mathbb Q$
129438
Gaussian Integers and Quotient Rings