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arXiv · 2312.11106

Sharpness for the Benson-Solomon fusion systems

Marco Praderio Bova
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Abstract

We develop tools to prove D\'iaz and Park's sharpness conjecture (see [8]) for fusion systems admitting tame families of fusion subsystems (see Theorem A). We use such tools to prove the conjecture for all Benson-Solomon fusion systems (see Theorem B) thus completing the work started by Henke, Libman and Lynd in [14, Theorems 1.1 and 1.4].

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Marco Praderio Bova. 2023-12-18. Sharpness for the Benson-Solomon fusion systems. https://arxiv.org/abs/2312.11106

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