# 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 9 subcategories, out of 9 total.

### C

### E

### P

### Q

### S

## Pages in category "Cyclic Groups"

The following 46 pages are in this category, out of 46 total.