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arXiv · 2411.01352

Higher limits over the fusion orbit category via centralizers of amalgams

Marco Praderio Bova
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Abstract

We study the D\'iaz-Park sharpness conjecture for fusion systems and prove that, under certain circumstances, there exists a 4 terms exact sequence relating the first two higher limits of the contravariant part of a Mackey functor over certain fusion systems. We show how this result can be applied to the family of Benson-Solomon fusion systems thus providing another approach to studying the sharpness for this family of fusion systems.

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Marco Praderio Bova. 2024-11-02. Higher limits over the fusion orbit category via centralizers of amalgams. https://arxiv.org/abs/2411.01352

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