The "Direct Product" is a mathematical operation that combines two or more sets, groups, or structures to form a new one. For example, if you have two sets, A and B, the direct product, denoted as A × B, consists of all possible ordered pairs where the first element comes from A and the second from B. This concept is widely used in various fields, including algebra and topology. In group theory, the direct product of two groups, such as G and H, results in a new group where the operation is performed component-wise. This means that if you take two elements, one from G and one from H, their product in the direct product group is formed by applying the group operation separately to each component. The direct product helps in understanding the structure of complex systems by breaking them down into simpler parts.