How to find whether a multiplicative group is cyclic or not
84
For what $n$ is $U_n$ cyclic?
45156
Every group of order $35$ is cyclic?
129485
A subgroup of a cyclic group is cyclic - Understanding Proof
69046
Proof of $\mathbb{Q}$ is not cyclic
145561
About the additive group and the multiplicative group of a field
121810
Prove that the product of two infinite cyclic groups is not infinite cyclic.
34552
Proper subgroups of non-cyclic p-group cannot be all cyclic?
135710
Cyclic Automorphism group
89382
In a group $G$ where $\exists!$ nontrivial, proper subgroup, show that $G$ is cyclic and $\lvert G\rvert=p^2$, for $p$ prime.
101596
Determine group G as cyclic
50762
If $S_n$ has cyclic subgroups of these orders or not?
119545
Nonzero rationals under multiplication are not a cyclic group
74978
How the center of a non-cyclic free Group is trivial?
28913
How to find a generator of a cyclic group?
14003
$(\mathbb{Z}/2^n \mathbb{Z})^*$ is not cyclic Group for $n\geq 3$
45947
Find generator of multiplicative group of $\mathbb{F}_{27}$
145112
Show that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic