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math.AT2026
Computing higher limits over the fusion orbit category via amalgams
Marco Praderio Bova
We study higher limits over the centric orbit category of a fusion system realized by an amalgamated product. In so doing we provide a novel technique for studying the Diaz-Park sh…
math.AT2024
Higher limits over the fusion orbit category via centralizers of amalgams
Marco Praderio Bova
We study the Díaz-Park sharpness conjecture for fusion systems and prove that, under certain circumstances, there exists a 4 terms exact sequence relating the first two higher limi…
math.AT2023
Sharpness for the Benson-Solomon fusion systems
Marco Praderio Bova
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…