Dade's ordinary conjecture implies the Alperin-McKay conjecture
Representation Theory
2018-04-20 v2 Group Theory
Abstract
We show that Dade's ordinary conjecture implies the Alperin-McKay conjecture. We remark that some of the methods can be used to identify a canonical height zero character in a nilpotent block.
Cite
@article{arxiv.1802.05367,
title = {Dade's ordinary conjecture implies the Alperin-McKay conjecture},
author = {Radha Kessar and Markus Linckelmann},
journal= {arXiv preprint arXiv:1802.05367},
year = {2018}
}
Comments
This version contains a remark on canonical height zero characters in nilpotent blocks