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arXiv · 1212.1917

Two remarks on the reduction of Alperin's weight conjecture

Abstract

The so-called inductive McKay condition on finite simple groups, due to Isaacs-Malle-Navarro (2007), has been recently reformulated by Späth. We show that this reformulation applies to the reduction theorem for Alperin's weight conjecture, due to Navarro-Tiep (2011). This also simplifies the checking of the inductive condition for Alperin's weight conjecture in the case of simple groups of Lie type with regard to the defining prime.

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BibTeXRIS

Marc Cabanes. 2012-12-09. Two remarks on the reduction of Alperin's weight conjecture. https://doi.org/10.1112/blms%2Fbdt012

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