군론, or group theory, is a branch of mathematics that studies algebraic structures known as groups. A group consists of a set of elements combined with an operation that satisfies four fundamental properties: closure, associativity, identity, and invertibility. This framework allows mathematicians to analyze symmetry, structure, and the relationships between different mathematical objects. Group theory has applications in various fields, including physics, chemistry, and computer science. It helps in understanding the symmetry of molecules, the behavior of particles, and even in cryptography. By exploring the properties of groups, researchers can solve complex problems and develop new theories across multiple disciplines.