Equivariant correspondences and the inductive Alperin weight condition for type 𝖠

Feng, Zhicheng; Li, Conghui; Zhang, Jiping

doi:10.1090/tran/8463

Equivariant correspondences and the inductive Alperin weight condition for type $\mathsf A$
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by Zhicheng Feng, Conghui Li and Jiping Zhang PDF

Trans. Amer. Math. Soc. 374 (2021), 8365-8433 Request permission

Abstract:

In this paper, we establish the inductive Alperin weight condition for the finite simple groups of Lie type $\mathsf A$, contributing to the program to prove the Alperin weight conjecture by checking the inductive condition for all finite simple groups.

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