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math.RT2024
Weight conjectures for Parker--Semeraro fusion systems
Radha Kessar, Jason Semeraro, Patrick Serwene +1
We prove that the Parker--Semeraro systems satisfy six of the nine Kessar--Linckelmann--Lynd--Semeraro weight conjectures for saturated fusion systems. As a by-product we obtain th…
math.RT2022
Reduction Theorems for Generalised Block Fusion Systems
Patrick Serwene
We generalise the Third Main Theorem by Brauer, the First and Second Fong Reduction to generalised block fusion systems and apply the Second Fong Reduction to extend a result by Ca…