# Definition:Finite Cyclic Group

Jump to navigation
Jump to search

## Definition

Let $\struct {G, \circ}$ be a cyclic group.

Then $\struct {G, \circ}$ is a **finite cyclic group** if and only if it is a finite group.

## Sources

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**generator**:**2.**