On the inductive blockwise Alperin weight condition for classical groups

JOURNAL OF ALGEBRA

卷:537

Article

Feng, Zhicheng^1,2  Li, Zhenye^3,4  Zhang, Jiping⁵ 

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

[2] TU Kaiserslautern, FB Math, Postfach 3049, D-67653 Kaiserslautern, Germany

[3] Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China

[4] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China

[5] Peking Univ, Beijing Int Ctr Math Res Lmam, Sch Math Sci, Beijing 100871, Peoples R China

关键词: Alperin weight conjecture;    Inductive blockwise Alperin weight condition;    Classical groups;    Unipotent blocks;   

DOI  :  10.1016/j.jalgebra.2019.07.022

来源: Elsevier

【 摘 要 】

Recently, there has been substantial progress on the Alperin weight conjecture. As a step to establish the Alperin weight conjecture for all finite groups, we prove the inductive blockwise Alperin weight condition for simple groups of classical type under some additional assumption. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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