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.

Classroom Articles on Group Theory

	Abelian Group	Normal Subgroup
	Group Action	Simple Group
	Group Representation	Subgroup
	Group Theory	Symmetry Group

Classroom Articles on Abstract Algebra (Up to College Level)

	Abstract Algebra	Gaussian Integer
	Algebra	Ideal
	Algebraic Number	Isomorphism
	Boolean Algebra	Quaternion
	Field	Ring
	Finite Field