Determining if Galois group is cyclic
9422
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
99788
Why does a multiplicative subgroup of a field have to be cyclic?
75986
If all Subgroups are Cyclic, is group Cylic?
1443
How to find the Galois group of a polynomial?
23394
If $G/Z(G)$ is cyclic, then $G$ is abelian
118610
Are all extensions of finite fields cyclic?
102146
If a group mod its commutator subgroup is cyclic, then the group is abelian?
38853
Cyclic group of prime order
124150
Faithful representation implies group is cyclic
2104
Finite group for which $|\{x:x^m=e\}|\leq m$ for all $m$ is cyclic.
5223
$\mathbb{Z}_m \times \mathbb Z_n$ is cyclic if and only if $\gcd(m,n)=1$
74964
Showing Galois Group is Abelian
69046
Proof of $\mathbb{Q}$ is not cyclic
132725
Is $\mathbb{Z}/\langle n\rangle$ cyclic and of order $n$?
95459
$\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?
147517
Any group of order $n$ satisfying $\gcd (n, \varphi(n)) =1$ is cyclic
12524
Galois group of $x^3 - 2 $ over $\mathbb Q$