Group (mathematics)

Group: A set equipped with a binary operation (called multiplication) that is associative, has an identity element (also known as neutral element or multiplicative unit) and has left and right inverses for every element.

Groups occur throughout mathematics, and are the underlying structures for rings, fields, vector spaces, modules, function spaces, and other structures that arise naturally in algebra, analysis and topology.

Primary subject wiki entry: Groupprops:Group

Also located at: Wikipedia:Group (mathematics), Mathworld:Group, Planetmath:Group, Citizendium:Group