# Finite Group

A finite group is a group with a finite number of elements.

Finite 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. |

Dihedral Group: | The dihedral group of order n>i is the symmetry group for a regular polygon with n sides. |

Symmetric Group: | A symmetric group is a group of all permutations of a given set. |

### Prerequisites

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. |