A question concerning cyclic property of a group
84
For what $n$ is $U_n$ cyclic?
15526
Question on groups of order $pq$
144065
Proving $\phi(G)$ is cyclic if $\phi$ : $G \to H$ is group homomorphism and $G$ is cyclic
151619
A finite abelian group containing a non-trivial subgroup which lies in every non-trivial subgroup is cyclic
141890
$G$ is a Group of order $pq$, if $G$ has exactly one subgroup of order $p$ and another with order $q$, then $G$ is cyclic ($p,q$ are prime)
54453
Finite abelian $p$-group with only one subgroup size $p$ is cyclic
76504
Non-trivial cyclic group with unique generator
129485
A subgroup of a cyclic group is cyclic - Understanding Proof
134820
$p$ prime, Group of order $p^n$ is cyclic iff it is an abelian group having a unique subgroup of order $p$
126590
Why is the multiplicative group of a finite field cyclic?
58014
Prove or disprove: The automorphism group of a finite cyclic group must be cyclic.
60208
Proof of property of abelian group
28362
Product of two cyclic groups is cyclic iff their orders are co-prime
99788
Why does a multiplicative subgroup of a field have to be cyclic?
63136
Prove $G$ is Abelian if $N$ is in the centre of $G$ and $G/N$ is cyclic
5223
$\mathbb{Z}_m \times \mathbb Z_n$ is cyclic if and only if $\gcd(m,n)=1$
135710
Cyclic Automorphism group