Finite groups are a fundamental concept in mathematics, specifically in the field of group theory. A finite group is a mathematical structure consisting of a set of elements along with a binary operation that combines two elements to produce a third element in the group. Research in finite groups focuses on studying the properties, structures, and classifications of these groups. This includes investigating their subgroups, cyclic properties, representations, and symmetry properties. Finite groups play a crucial role in a wide range of mathematical areas, such as number theory, algebra, and geometry, and have important applications in various scientific disciplines, including physics and computer science. Overall, research in finite groups aims to deepen our understanding of the properties and structures of these fundamental mathematical objects and their connections to other areas of mathematics and science.