The Alperin–McKay and Brauer’s height zero conjecture for the prime 2

Abstract

In this paper we consider the inductive Alperin–McKay condition for quasi-isolated $2$-blocks of exceptional groups of Lie type. Thereby, we complete the proof of the Alperin–McKay conjecture and Brauer’s height zero conjecture for the prime $2$.

Authors

Lucas Ruhstorfer

School of Mathematics and Natural Sciences, University of Wuppertal, Wuppertal, Germany