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math.GR2024
On -local structures for -spetses
Damiano Rossi, Jason Semeraro
Let be a prime power, a prime not dividing , and the order of modulo . We show that the geometric realisation of the nerve of the transporter category o…
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
Spectra of subrings of cohomology generated by characteristic classes for fusion systems
Ian J. Leary, Jason Semeraro
If is a saturated fusion system on a finite -group , we define the Chern subring of to be the subring of the mod- cohomology…