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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.GR2024
Exotic Fusion System on a Subgroup of the Monster
Patrick Serwene
We prove that an exotic fusion system described by Grazian on a subgroup of the Monster group is block-exotic, thus proving that exotic and block-exotic fusion systems are the same…