Jordan decomposition for weights and the blockwise Alperin weight conjecture

Abstract

The Alperin weight conjecture was reduced to simple groups by the work of Navarro, Tiep and Späth. 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.

References in corpus (4)

• Equivariant correspondences and the inductive Alperin weight condition for type $\mathsf{A}$
• On the inductive blockwise Alperin weight condition for type $\mathsf{A}$
• Morita equivalences and the inductive blockwise Alperin weight condition for type $\mathsf{A}$
• On the inductive blockwise Alperin weight condition for the unipotent blocks of finite groups of Lie type E_6

Cited by in corpus (1)

• Morita equivalences and the inductive blockwise Alperin weight condition for type $\mathsf{A}$