Sharpness for the Benson-Solomon fusion systems

Abstract

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].

Error in proof of proposition 5.10 invalidates it as well as Theorems A and C. Unable to fix such error