# Category:Cyclic Groups

This category contains results about Cyclic Groups.
Definitions specific to this category can be found in Definitions/Cyclic Groups.

The group $G$ is cyclic if and only if every element of $G$ can be expressed as the power of one element of $G$:

$\exists g \in G: \forall h \in G: h = g^n$

for some $n \in \Z$.

## Subcategories

This category has the following 15 subcategories, out of 15 total.