Sharpness of saturated fusion systems on a Sylow p-subgroup of \rm G₂(p)

2022/09/15 by Valentina Grazian, Grazian, Valentina, Ettore Marmo +1
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2209.07388

openalex publication_date 2022/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Díaz-Park's sharpness conjecture holds for saturated fusion systems defined on a Sylow p-subgroup of the group \rm G₂(p), for p≥ 5.

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• Fusion systems over a Sylow p-subgroup of G₂(p)
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