The multiplicative group of integers mod n is cyclic iff ___.
84
For what $n$ is $U_n$ cyclic?
101596
Determine group G as cyclic
92583
Prove that $N(\gamma) = 1$ if, and only if, $\gamma$ is a unit in the ring $\mathbb{Z}[\sqrt{n}]$
92430
Show that the group is cyclic.
43058
If $n > 2$, prove that the order of the multiplicative group of units modulo n, $U_n$, is even.
17176
Proof that $x^n \mod b = (x \mod b)^n$
144065
Proving $\phi(G)$ is cyclic if $\phi$ : $G \to H$ is group homomorphism and $G$ is cyclic
5906
All group homomorphism from $ \mathbb{Z} _m $ to $\mathbb{Z}_n $
150007
Prove that $(\mathbb{Z}_n , +)$, the integers $\pmod{n}$ under addition, is a group.
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
14003
$(\mathbb{Z}/2^n \mathbb{Z})^*$ is not cyclic Group for $n\geq 3$
151619
A finite abelian group containing a non-trivial subgroup which lies in every non-trivial subgroup is cyclic
137739
Prove that the group isomorphism $\mathbb{Z}^m \cong \mathbb{Z}^n$ implies that $m = n$
123482
How to compute $\mathbb{Z}_n^*$, the unit group of the integers modulo $n$?
135039
${\rm Aut}(G)$ is cyclic $\implies G$ is abelian
98507
$\text{Aut}(F)$ is isomorphic to the multiplicative group of all $n\times n$ matrices over $\mathbb Z$
107716
Show that $G$ is cyclic