Two remarks on the reduction of Alperin's weight conjecture
Representation Theory
2014-02-26 v1 Group Theory
Abstract
The so-called inductive McKay condition on finite simple groups, due to Isaacs-Malle-Navarro (2007), has been recently reformulated by Sp\"ath. 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.
Keywords
Cite
@article{arxiv.1212.1917,
title = {Two remarks on the reduction of Alperin's weight conjecture},
author = {Marc Cabanes},
journal= {arXiv preprint arXiv:1212.1917},
year = {2014}
}