Defect theory for maximal ideals and simple functors

The Structure of Mackey Functors

“…Green functors have in some ways a tighter structure than Mackey functors, but we will not describe their theory in detail here. Fuller accounts of recent theory may be found in [58], [59] and [12].…”

Mackey Functors with Chain Conditions

“…17 . In order to present his description of thé functor J we need to introduce the notion of an inflated functor.…”

Ideals of Tambara functors

“…With this underlying Green functor structure, an ideal I ⊆ T gives a functorial ideal I ⊆ T α . A functorial ideal is originally defined in [8], and written in the following form using the cross product in [2].…”