Jordan decomposition for weights and the blockwise Alperin weight conjecture

2021/02/28 by Zhicheng Feng, Feng, Zhicheng, Zhenye Li +3 · 1 citation
Mathematics · #20C20 #20C33 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2103.00377

openalex publication_date 2021/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Alperin weight conjecture was reduced to simple groups by the work of Navarro, Tiep and Späth. To prove Alperin weight conjecture, it suffices to show that all finite non-abelian simple groups are BAW-good. We reduce the verification of the inductive conditons for groups of Lie type in non-defining characteristic to quasi-isolated blocks.

Citations

• Equivariant correspondences and the inductive Alperin weight condition for type \mathsf A
• Morita equivalences and the inductive blockwise Alperin weight condition for type \mathsf A

Cited by

• Generic weights for finite reductive groups

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