# Category:Definitions/Examples of Cyclic Groups

This category contains definitions of examples of 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 only the following subcategory.

## Pages in category "Definitions/Examples of Cyclic Groups"

The following 4 pages are in this category, out of 4 total.