Jordan decomposition for weights and the blockwise Alperin weight conjecture
Representation Theory
2022-07-12 v4 Group Theory
Abstract
The Alperin weight conjecture was reduced to simple groups by the work of Navarro, Tiep and Sp\"ath. 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.
Keywords
Cite
@article{arxiv.2103.00377,
title = {Jordan decomposition for weights and the blockwise Alperin weight conjecture},
author = {Zhicheng Feng and Zhenye Li and Jiping Zhang},
journal= {arXiv preprint arXiv:2103.00377},
year = {2022}
}