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arXiv · 1211.3557

Mackey functors and sharpness for fusion systems

Antonio Díaz·Sejong Park
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Abstract

We develop the fundamentals of Mackey functors in the setup of fusion systems including an acyclicity condition as well as a parametrization and an explicit description of simple Mackey functors. Using this machinery we extend Dwyer's sharpness results to exotic fusion systems $\mathcal{F}$ on a finite $p$-group $S$ with an abelian subgroup of index $p$.

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Antonio Díaz, Sejong Park. 2012-11-15. Mackey functors and sharpness for fusion systems. https://arxiv.org/abs/1211.3557

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