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Group theory is a branch of mathematics that studies groups, which are abstract structures consisting of a set equipped with a binary operation that combines any two of its elements to form a third element in such a way that four conditions called group axioms are satisfied. In physics, particularly in the context of quantum field theory, group theory is used to describe symmetries and classify particles and interactions. It provides a mathematical framework for understanding how physical systems transform under various operations, such as rotations, translations, and other continuous transformations. By studying the structure and properties of groups, physicists can gain insights into the fundamental laws governing the behavior of matter and energy at the quantum level. Thus, group theory is an essential tool in the study of quantum field theory, providing a powerful mathematical language for describing and analyzing symmetries and their consequences in physical systems.