List questions from cyclic-groups

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List Question

Is $\mathbb{Z}/\langle n\rangle$ cyclic and of order $n$?

Find all cyclic subgroups of $\mathbb{Z}_{24}$.

Let $G$ be a group with order $p$ a prime number. Show $G$ is cyclic.

$G$ has exactly three subgroups

A Group in which all Proper Subgroups are Cyclic

How many cyclic subgroups are in the Dihedral group?

Nilpotency of the $n$-fold free product of cyclic groups of order 2

For group $\mathbb{Z_{18}^*}$, how do I find all subgroups

What is the relation between these two subgroups of a finite cyclic group?

Help to see if my claim is correct dealing with cyclic groups

Can we conclude that this group is cyclic?

What is the necessary and sufficient condition for this Cartesian product to be a cyclic group?

Cyclicity of finite group

If a group mod its commutator subgroup is cyclic, then the group is abelian?

product of disjoint cycles

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