# Abelian Group

An Abelian group is a group for which the binary operation is commutative.

Abelian group is a college-level concept that would be first encountered in an abstract algebra course covering group theory.

### Examples

Cyclic Group: | A cyclic graph is an (always Abelian) abstract group generated by a single element. |

### Prerequisites

Commutative: | An operation * is said to be commutative if x*y = y*x for all x and y. |

Group: | A mathematical group is a set of elements and a binary operation that together satisfy the four fundamental properties of closure, associativity, the identity property, and the inverse property. |