When is $Aut\left(\mathbb{Z}_n\right)$ cyclic?
84
For what $n$ is $U_n$ cyclic?
119648
For which $n$ and $k$ are there nontrivial homomorphisms from $S_n$ to $\mathbb{Z}/k\mathbb{Z}$?
144445
Functions $f:\mathbb{N}\rightarrow \mathbb{Z}$ such that $\left(m-n\right) \mid \left(f(m)-f(n)\right)$
77382
Left ideals of $M_n(K)$
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
75970
$\mathbb Z[1/2]$ is not finitely generated?
33025
What is the order of $(\mathbb{Z} \oplus \mathbb{Z})/ \langle (2,2) \rangle$ and is it cyclic?
114916
$\mathbb Z_{mn}$ isomorphic to $\mathbb Z_m\times\mathbb Z_n$ whenever $m$ and $n$ are coprime
48585
Proving that if $G/Z(G)$ is cyclic, then $G$ is abelian
124150
Faithful representation implies group is cyclic
110808
Isomorphisms preserve cyclic
92430
Show that the group is cyclic.
24561
$\mathbb S_n$ as semidirect product
92211
When are $\mathbb Z_m$ and $\mathbb Z_n$ homomorphic?
93031
How to show that $\mathbb{Z}$ with the operation $m*n=m+(-1)^m n$ is associative?
50762
If $S_n$ has cyclic subgroups of these orders or not?
14003
$(\mathbb{Z}/2^n \mathbb{Z})^*$ is not cyclic Group for $n\geq 3$