On the inductive Alperin-McKay condition for simple groups of type A

2014/03/19 by Marc Cabanes, Cabanes, Marc, Britta Spaeth +1
Computer Science · Mathematics · #20C15 #20C20 #20C33 #20G40 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1403.4708

openalex publication_date 2014/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

As a sequel to [CS13b], we verify the so-called inductive AM-condition introduced in [Sp12] for simple groups of type A and blocks with maximal defect. This is part of the program set up to verify the Alperin-McKay conjecture through its reduction to a problem on quasi-simple groups (see [Sp13]) but also the missing direction of Brauer's height zero conjecture (see [NS14])

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