Is $U(pq)$ a cyclic group, where $p$ and $q$ are distinct primes?
131706
Is my proof that $U_{pq}$ is not cyclic if $p$ and $q$ are distinct odd primes correct?
57887
When are the product of cyclic groups also cyclic?
151025
If G is a group of order n=35, then it is cyclic
76446
Why are cyclic groups of order $p$ (prime) unique up to isomorphism?
8746
Groups of order $pq$ without using Sylow theorems
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
105139
Verification of Proof that a nonabelian group G of order pq where p and q are primes has a trivial center
106123
Is there a finite abelian group $G$ such that $\textrm{Aut}(G)$ is abelian but $G$ is not cyclic?
142894
Showing that a group of order $pq$ is cyclic if it has normal subgroups of order $p$ and $q$
61546
Prove that for each prime $p$ there exists a nonabelian group of order $p^3$
121481
Non-abelian finite $p$-group in which every element has prime order?
147517
Any group of order $n$ satisfying $\gcd (n, \varphi(n)) =1$ is cyclic
3829
Number of automorphisms of a direct product of two cyclic $p$-groups
91287
Is $G/pG$ is a $p$-group?
134820
$p$ prime, Group of order $p^n$ is cyclic iff it is an abelian group having a unique subgroup of order $p$
117744
$p$-Sylow in quotient groups
95534
If $|G|=p^nq$, then $G$ contains a unique normal subgroup of index $q$