The Brauer trees of unipotent blocks

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 $\ell$-blocks of finite groups are known for $\ell>71$.

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Veröffentlicht in:Journal of the European Mathematical Society : JEMS 2019
Hauptverfasser: Craven, David A., Dudas, Olivier, Rouquier, Raphael
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Dudas, Olivier
Rouquier, Raphael
description 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 $\ell$-blocks of finite groups are known for $\ell>71$.
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title The Brauer trees of unipotent blocks
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