How to show that any subgroup of a cyclic group must be cyclic
129485
A subgroup of a cyclic group is cyclic - Understanding Proof
57887
When are the product of cyclic groups also cyclic?
51359
Prove that every subgroup of an abelian group is a normal subgroup.
73402
Showing that $(\mathbb{Z}/p^{a}\mathbb{Z})^*$ is a cyclic group
151025
If G is a group of order n=35, then it is cyclic
118894
Cyclic subgroup of dihedral group
14528
Proof that all abelian simple groups are cyclic groups of prime order
128899
How to find all generators for a cyclic group of order $n$?
14003
$(\mathbb{Z}/2^n \mathbb{Z})^*$ is not cyclic Group for $n\geq 3$
117899
At most one subgroup of every order dividing $\lvert G\rvert$ implies $G$ cyclic
62035
Order of automorphism group of cyclic group
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
145112
Show that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic
76504
Non-trivial cyclic group with unique generator
144065
Proving $\phi(G)$ is cyclic if $\phi$ : $G \to H$ is group homomorphism and $G$ is cyclic
94239
Proof that if group $G/Z(G)$ is cyclic, then $G$ is commutative
98155
Free products of cyclic groups