# Group theory

*If you are looking for the definition of a group, go to:* Group

*If you would like a guided tour to this wiki, go to:* Groupprops:Guided tour

**Group theory** is a broad discipline within mathematics, whose aim to to study algebraic constructs called groups. A group is a set, equipped with a binary operation having an identity element and inverses. Groups are ubiquitous in mathematics, and the aim of group theory *per se* is to study groups as algebraic objects in their own right. However, there are a number of other, closely allied disciplines, which study groups in certain specific contexts in which they arise.