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arXiv · 1710.08560

Box Product of $C_p$-Mackey Functors

Kaitlyn Loyd
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Abstract

Let $G$ be a finite group. In this paper, we begin by providing an exposition of $G$-Mackey functors and a symmetric monoidal product on the category of Mackey functors called the box product. After computing several examples of box products for the case of $G=C_p$, the cyclic group of order $p$, we move to the heart of the paper, which is to find and classify all $C_p$-Mackey functors invertible for the box product.

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Kaitlyn Loyd. 2017-10-24. Box Product of $C_p$-Mackey Functors. https://arxiv.org/abs/1710.08560

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