McKay's Direct Theorem

McKay's Direct Theorem is a principle in group theory that states if you have a specific kind of mathematical object, called a group, which acts on a set in a certain way, you can induce a representation of the group’s structure on a related set. Essentially, it provides a method to understand complex group behaviors by examining how they transform simpler objects. This helps mathematicians explore and classify groups by revealing their underlying patterns and relationships, making it a powerful tool in the study of symmetry and algebraic structures.