Group theory

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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.