Subgroups and cyclic groups
129830
A group with no proper non-trivial subgroups
73402
Showing that $(\mathbb{Z}/p^{a}\mathbb{Z})^*$ is a cyclic group
150207
Non isomorphic subgroups of cyclic groups
98155
Free products of cyclic groups
88344
Order of a group and subsequent subgroups
2304
What is the quotient of a cyclic group of order $n$ by a cyclic subgroup of order $m$?
101596
Determine group G as cyclic
14255
Commutator subgroup and cyclic normal subgroup
92430
Show that the group is cyclic.
98542
Prove that $H$ is a subgroup of an abelian group $G$
135710
Cyclic Automorphism group
61394
The product of finitely many cyclic groups is cyclic
14890
Let $G=\langle a\rangle$ be a cyclic group of order $n$. Show that, for every divisor $d$ of $n$, there exists a subgroup of $G$ whose order is $d$.
104460
When a group is cyclic
70904
Subgroups of $U(n)$ isomorphic to a direct sum of cyclic groups
43750
Subgroups of finite solvable groups. Solvable?
98145
If $G$ is cyclic then $G/H$ is cyclic?