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math.GR2025
A reduction theorem for the blockwise Navarro Alperin weight conjecture via H-triples
Zhicheng Feng, Qulei Fu, Yuanyang Zhou
The Galois Alperin weight (GAW) conjecture has been reduced to the inductive GAW condition for simple groups. We proceed in two steps to refine this reduction. First, we propose th…
math.GR2023
An equivariant bijection of irreducible Brauer characters above the Dade-Glauberman-Nagao correspondence
Qulei Fu
The Glauberman correspondence and its generalisation, the Dade--Glauberman--Nagao (DGN) correspondence, play an important role in studying local-global counting conjectures and the…