The Brauer trees of unipotent blocks

2017/01/24 by David Craven, Craven, David A., Olivier Dudas +3
Mathematics · #20C20 #20C33 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1701.07097

openalex publication_date 2017/01/24 · openalex created_date 2019/10/03 · openalex updated_date 2026/07/28

Abstract

In this paper we complete the determination of the Brauer trees of unipotent blocks (with cyclic defect groups) of finite groups of Lie type. These trees were conjectured by the first author. As a consequence, the Brauer trees of principal ℓ-blocks of finite groups are known for ℓ>71.

Citations

• Perverse Equivalences and Broué's Conjecture II: The Cyclic Case

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• Simple groups with Brauer trees of principal blocks in the shape of a star
• Brauer's problem 21 for principal blocks
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• Coxeter orbits and Brauer trees III