# Group theory

From Groupprops

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

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**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.