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

From To appear in forthcoming issues by Lucas Ruhstorfer

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 and Brauer’s height zero conjecture for the prime $2$.

Keywords
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Mathematical Subject Classification

Primary 2020:

Milestones
Received: 14 April 2022
Revised: 6 July 2024
Accepted: 13 March 2024

Authors

Lucas Ruhstorfer

School of Mathematics and Natural Sciences, University of Wuppertal, Gausstr. 20, 42119 Wuppertal, Germany