If all Subgroups are Cyclic, is group Cylic?
34552
Proper subgroups of non-cyclic p-group cannot be all cyclic?
99788
Why does a multiplicative subgroup of a field have to be cyclic?
135039
${\rm Aut}(G)$ is cyclic $\implies G$ is abelian
65968
Prove that any two cyclic groups of the same order are isomorphic?
45727
If $G$ contains a normal subgroup $H \cong \mathbb{Z_2}$ such that $G/H$ is infinite cyclic, then $G \cong \mathbb{Z} \times \mathbb{Z_2}$
13734
Show that every group of prime order is cyclic
36040
A Group Having a Cyclic Sylow 2-Subgroup Has a Normal Subgroup.
101596
Determine group G as cyclic
127306
Is the group of units of a finite ring cyclic?
152071
Group $G$ is cyclic $\iff$ every subgroup of $G$ has the form $G^k$, where $G^k=\{g^k\mid g\in G\}$
32620
Is every group of order $21$ cyclic?
98601
Any  group of order four is either cyclic or isomorphic to $V$
132475
Simple method the show that a group of order 15 is cyclic
107716
Show that $G$ is cyclic
117324
How to find all subgroups of a group in GAP
49338
Is every group a Galois group?
117206
$|G|$ and $|{\rm Aut}(G)|$ are relatively prime $\Rightarrow$ $G$ should be cyclic?