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arXiv · 2008.06206

On the inductive blockwise Alperin weight condition for type $\mathsf A$

Zhicheng Feng·Conghui Li·Jiping Zhang
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Abstract

In this paper we prove the blockwise Alperin weight conjecture for finite special linear and unitary groups, for finite groups with abelian Sylow $3$-subgroups, and verify the inductive blockwise Alperin weight condition for certain cases of groups of type $\mathsf A$. We also give a classification for the 2-blocks of special linear and unitary groups.

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Zhicheng Feng, Conghui Li, Jiping Zhang. 2020-08-14. On the inductive blockwise Alperin weight condition for type $\mathsf A$. https://arxiv.org/abs/2008.06206

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