The Alperin--McKay and Brauer's height zero conjecture for the prime 2
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 conjecture and Brauer's height zero conjecture for the prime 2.
Topics & Concepts
MathematicsConjecturePrime (order theory)Zero (linguistics)Pure mathematicsCombinatoricsPhilosophyLinguisticsAlgebraic Geometry and Number TheoryAnalytic Number Theory ResearchFinite Group Theory Research