A Mackey-functor theoretic interpretation of biset functors

Hiroyuki Nakaoka

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arXiv · 1311.4044

A Mackey-functor theoretic interpretation of biset functors

Hiroyuki Nakaoka

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Abstract

In this article, we consider a formulation of biset functors using the 2-category of finite sets with variable finite group actions. We introduce a 2-category $\mathbb{S}$, on which a biset functor can be regarded as a special kind of Mackey functors. This gives an analog of Dress' definition of a Mackey functor, in the context of biset functors.

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Hiroyuki Nakaoka. 2013-11-16. A Mackey-functor theoretic interpretation of biset functors. https://arxiv.org/abs/1311.4044

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