Construction of Free Action Functor

This lecture covers the construction of the free action functor in the context of group theory and category theory. It explains the concept of free G-action functor as the left adjoint of the forgetful functor, providing definitions and properties related to group actions. The lecture also discusses the multiplication of groups, defining G as a G-set with specific actions. It delves into the definition of the free action functor in various scenarios, emphasizing the importance of understanding group actions and their applications.