By Radha Kessar and others

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 that Robinson's ordinary weight conjecture holds for the principal *3*-block of Aut*(G_2(3))*, the principal *5*-blocks of *HN*, *BM*, Aut*(HN)*, *Ly*, the principal *7*-block of *M*, and the... Show more

July 9, 2024

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Weight conjectures for Parker--Semeraro fusion systems

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