Organizational groupings are an abstraction of the mathematical concepts of groups defined below, in this context one or more sets of actors come together using the operation known as coloration to form a new set of actors. Ideal Organization Theory contends that through this organization structure, actor sets will behave the way they always have but their behavior will be optimized and collectively more intelligent.

“…a group is an algebraic structure consisting of a set together with an operation that combines any two of its elements to form a third element.” – Wikipedia