English

On the Alperin-McKay conjecture for 2-blocks of maximal defect

Group Theory 2021-08-13 v1 Representation Theory

Abstract

In this paper, we show that the Alperin-McKay conjecture holds for 2-blocks of maximal defect. A major step in the proof is the verification of the inductive Alperin-McKay condition for the principal 2-block of groups of Lie type in odd characteristic.

Keywords

Cite

@article{arxiv.2108.05637,
  title  = {On the Alperin-McKay conjecture for 2-blocks of maximal defect},
  author = {Julian Brough and Lucas Ruhstorfer},
  journal= {arXiv preprint arXiv:2108.05637},
  year   = {2021}
}