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Group theory is a branch of mathematics that studies algebraic structures known as groups. It delves into the abstract properties and relationships of these groups, which are sets equipped with an operation satisfying certain axioms. These groups can be found in diverse areas within complex analysis, making group theory an integral part of this mathematical field. For instance, it plays a significant role in the study of symmetries, transformations, and automorphisms of complex functions and geometries. In essence, group theory offers powerful tools to analyze and classify various structures inherent in complex analysis, ultimately unveiling deep connections with other branches of mathematics under the umbrella of science and mathematics.