Jordan decomposition for weights and the blockwise Alperin weight conjecture

DOI10.1016/J.AIM.2022.108594arXiv2103.00377WikidataQ113880878 ScholiaQ113880878MaRDI QIDQ6361716

Jiping Zhang, Zhenye Li, Zhicheng Feng

Publication date: 27 February 2021

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.

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

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