Very basic cyclic groups question
38687
Isomorphism of a product $C_n \times C_m$ of cyclic groups with the cyclic group $C_{mn}$
117206
$|G|$ and $|{\rm Aut}(G)|$ are relatively prime $\Rightarrow$ $G$ should be cyclic?
84501
Proof involving Cyclic group, generator and GCD
94239
Proof that if group $G/Z(G)$ is cyclic, then $G$ is commutative
147517
Any group of order $n$ satisfying $\gcd (n, \varphi(n)) =1$ is cyclic
62035
Order of automorphism group of cyclic group
91782
Efficiently find the generators of a cyclic group
74978
How the center of a non-cyclic free Group is trivial?
101602
consider the group $G=\mathbb Q/\mathbb Z$. For $n>0$, is there a cyclic subgroup of order n
98155
Free products of cyclic groups
124455
Why multiplicative group $\mathbb{Z}_n^*$ is not cyclic for $n = 2^k$ and $k \ge 3$
57887
When are the product of cyclic groups also cyclic?
9232
Group with proper subgroups infinite cyclic
14003
$(\mathbb{Z}/2^n \mathbb{Z})^*$ is not cyclic Group for $n\geq 3$
98601
Any  group of order four is either cyclic or isomorphic to $V$
53357
Cyclic Group Generators of Order $n$
36040
A Group Having a Cyclic Sylow 2-Subgroup Has a Normal Subgroup.