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Group theory is the study of algebraic structures known as groups, which consist of a set of elements combined with an operation that follows certain axioms. It is a fundamental area in abstract algebra, closely connected to various branches of mathematics and science. In the context of Science/Mathematics/Abstract Algebra, group theory focuses on the investigation of symmetry, structure, and transformation properties in diverse mathematical objects and physical systems. This includes exploring group actions, homomorphisms, isomorphisms, normal subgroups, and quotient groups, as well as advanced topics like representation theory and algebraic topology. Group theory provides a powerful framework for understanding patterns, classifying objects, and modeling phenomena in mathematics, physics, chemistry, computer science, and engineering, making it an indispensable tool for researchers and students in these fields.