Mackey grup kategorileri ve basit izleçleri

Constructing the Mackey group category M using axioms which are reminiscentof fusion systems, the simple RM-functors (the simple functors from the R-linearextension of M to R-modules, where R is a commutative ring) can be classiedvia pairs consisting of the objects of the Mackey group category (which are nitegroups) and simple modules of specic group algebras. The key ingredient to thisclassication is a bijection between some RM-functors (not necessarily simple)and some morphisms of $End_{RM}(G)$. It is also possible to dene the Mackey groupcategory by using Brauer pairs, or even pointed groups as objects so that thisclassication will still be valid.