# Category:Definitions/Examples of Cyclic Groups

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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.

### R

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

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