# Category:Definitions/Cyclic Groups

This category contains definitions related to Cyclic Groups.
Related results can be found in Category: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 $n \in \Z$.

## Pages in category "Definitions/Cyclic Groups"

The following 8 pages are in this category, out of 8 total.