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

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.

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Publication Details

Journal
Annals of Mathematics
Published
2025-03-01
DOI
https://doi.org/10.4007/annals.2025.201.2.2
Citations
10
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
40.88
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article

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

Lucas Ruhstorfer
10 citations
Annals of Mathematics
Algebraic Geometry and Number Theory
40.88
article

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

Lucas Ruhstorfer
article en
10 citations

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.

Annals of MathematicsVol. 201(2)
University of Wuppertal (DE)
Openalex Percentile: Top 0%
Algebraic Geometry and Number Theory
40.88
DOISourceOpenAlex
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The Alperin--McKay and Brauer's height zero conjecture for the prime 2 — Lucas Ruhstorfer · Annals of Mathematics (2025) | TGRS Research Map | TGRS