2023/12/18 by Marco Praderio Bova, Bova, Marco Praderio
Mathematics · #20C99 #20D20 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Primary: 20J05 #Representation Theory (math.RT) #Secondary: 55T99
paper · pdf · doi:10.48550/arxiv.2312.11106
openalex publication_date 2023/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop tools to prove Díaz 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].