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Published online by Cambridge University Press: 29 October 2021
We survey several notions of Mackey functors and biset functors found in the literature and prove some old and new theorems comparing them. While little here will surprise the experts, we draw a conceptual and unified picture by making systematic use of finite groupoids. This provides a ‘road map’ for the various approaches to the axiomatic representation theory of finite groups, as well as some details that are hard to find in the literature.
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