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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2012
- DOI:
- 10.48550/arXiv.1212.1917
- arXiv:
- arXiv:1212.1917
- Bibcode:
- 2012arXiv1212.1917C
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Group Theory
- E-Print:
- doi:10.1112/blms/bdt012