Cyclic Subgroups of U(n)
84
For what $n$ is $U_n$ cyclic?
48393
Abelian groups of order n.
109053
Show that a finite cyclic group of order $n$ has exactly one subgroup of order $d$ dividing $n$ and these are all the subgroups it has
126089
Showing $U(20)$ is not cyclic: Is my proof correct?
133770
Subgroups of finite abelian groups.
68955
Characterising subgroups of Prüfer $p$-groups.
127306
Is the group of units of a finite ring 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 $d$.
10602
Monotone Union of subgroups being subgroup
87766
Using Cayley's Theorem to find an isomorphic subgroup.
97928
Normal subgroup of a normal subgroup
158074
Cyclic group $G$ with generator $ab$.
9232
Group with proper subgroups infinite cyclic
7967
Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$
142894
Showing that a group of order $pq$ is cyclic if it has normal subgroups of order $p$ and $q$
41231
Subgroups of (Z,+) of order n
155219
Prove or Disprove: If every nontrivial subgroup of a group $G$ is cyclic, then $G$ is cyclic.