Jordan decomposition for weights and the blockwise Alperin weight conjecture
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classification
math.RT
math.GR
keywords
alperinconjecturegroupsweightsimplebaw-goodblocksblockwise
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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.
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