New posts in Cyclic Groups

If $G$ is cyclic then $G/H$ is cyclic?

Why is the set of integers with the operation of addition considered a cyclic group?

In a group $G$ where $\exists!$ nontrivial, proper subgroup, show that $G$ is cyclic and $\lvert G\rvert=p^2$, for $p$ prime.

Are there any Symmetric Groups that are cyclic?

What is this notation? Cyclic group $\mathbb{Z}^*_8$

How to find a generator of a cyclic group?

When is the automorphism group $\text{Aut }G$ cyclic?

Find all subgroups of $\mathbb{Z_2} \times \mathbb{Z_2} \times \mathbb{Z_4}$ isomorphic to the Klein $4$-group.

A group with no proper non-trivial subgroups

What does it mean to have no proper non-trivial subgroup