The Alperin-McKay and Brauer's height zero conjecture for the prime 2

• 成果类型: Article
• 署名作者: Ruhstorfer, Lucas
• 署名单位: University of Wuppertal
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X; 1939-8980
• DOI: 10.4007/annals.2025.201.2.2
• 发表日期: 2025-03
• 页码: 379-457
• 关键词: exceptional groups of Lie type; quasi-isolated blocks; Alperin-McKay conjecture; Brauer's height zero conjecture; FINITE REDUCTIVE GROUPS; blocks; characters; SUBGROUPS; ELEMENTS

摘要

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.