Finite subgroup of the multiplicative group of a field is cyclic
8623
Finite subgroups of the multiplicative group of a field are cyclic
28362
Product of two cyclic groups is cyclic iff their orders are co-prime
76962
Sylow $p$-subgroups of $GL_n(\mathbb{F}_p)$
81354
The product of all the elements of a finite abelian group
9232
Group with proper subgroups infinite cyclic
50762
If $S_n$ has cyclic subgroups of these orders or not?
113936
Showing that a finite abelian group has a subgroup of order m for each divisor m of n
16643
A slick proof that a field which is finitely generated as a ring is finite
152071
Group $G$ is cyclic $\iff$ every subgroup of $G$ has the form $G^k$, where $G^k=\{g^k\mid g\in G\}$
73211
Cyclic subgroups dealing with prime numbers Question
142894
Showing that a group of order $pq$ is cyclic if it has normal subgroups of order $p$ and $q$
7967
Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$
110708
On proving that a finitely generated group has a finite number of subgroups with index $n$.
70904
Subgroups of $U(n)$ isomorphic to a direct sum of cyclic groups
135039
${\rm Aut}(G)$ is cyclic $\implies G$ is abelian
92430
Show that the group is cyclic.
98145
If $G$ is cyclic then $G/H$ is cyclic?