This book provides a definition of Green functors for a finite
group G, and of modules over it, in terms of the category of finite
G-sets. Some classical constructions, such as the associated
categroy or algebra, have a natural interpretation in that
framework. Many notions of ring theory can be extended to Green
functors (opposite Green functor, bimodules, Morita theory, simple
modules, centres, ...). There are moreover connections between
Green functors for different groups, given by functors associated
to bisets. Intended for researchers and students in representation
theory of finite groups it requires only basic algebra and category
theory, though knowledge of the classical examples of Mackey
functors is probably preferable
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