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 Aleprin–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

Keywords
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Mathematical Subject Classification

Primary 2020:

Milestones
Received: 14 April 2022
Revised: 7 March 2024
Accepted: 13 March 2024

Authors

Lucas Ruhstorfer

Fachbereich Mathematik, TU Kaiserslautern, 67653 Kaiserslautern, Germany