English

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

Representation Theory 2022-07-05 v2 Group Theory

Abstract

In this paper we prove the blockwise Alperin weight conjecture for finite special linear and unitary groups, for finite groups with abelian Sylow 33-subgroups, and verify the inductive blockwise Alperin weight condition for certain cases of groups of type A\mathsf A. We also give a classification for the 2-blocks of special linear and unitary groups.

Keywords

Cite

@article{arxiv.2008.06206,
  title  = {On the inductive blockwise Alperin weight condition for type $\mathsf A$},
  author = {Zhicheng Feng and Conghui Li and Jiping Zhang},
  journal= {arXiv preprint arXiv:2008.06206},
  year   = {2022}
}
R2 v1 2026-06-23T17:51:09.264Z